diff --git a/Lib/asyncio/proactor_events.py b/Lib/asyncio/proactor_events.py
index 5986e37..4716bb5 100644
--- a/Lib/asyncio/proactor_events.py
+++ b/Lib/asyncio/proactor_events.py
@@ -11,6 +11,7 @@
 from . import base_events
 from . import constants
 from . import futures
+from . import sslproto
 from . import transports
 from .log import logger
 
@@ -367,6 +368,20 @@
         return _ProactorSocketTransport(self, sock, protocol, waiter,
                                         extra, server)
 
+    def _make_ssl_transport(self, rawsock, protocol, sslcontext, waiter=None,
+                            *, server_side=False, server_hostname=None,
+                            extra=None, server=None):
+        if not sslproto._is_sslproto_available():
+            raise NotImplementedError("Proactor event loop requires Python 3.5"
+                                      " or newer (ssl.MemoryBIO) to support "
+                                      "SSL")
+
+        ssl_protocol = sslproto.SSLProtocol(self, protocol, sslcontext, waiter,
+                                            server_side, server_hostname)
+        _ProactorSocketTransport(self, rawsock, ssl_protocol,
+                                 extra=extra, server=server)
+        return ssl_protocol._app_transport
+
     def _make_duplex_pipe_transport(self, sock, protocol, waiter=None,
                                     extra=None):
         return _ProactorDuplexPipeTransport(self,
@@ -455,9 +470,8 @@
     def _write_to_self(self):
         self._csock.send(b'\0')
 
-    def _start_serving(self, protocol_factory, sock, ssl=None, server=None):
-        if ssl:
-            raise ValueError('IocpEventLoop is incompatible with SSL.')
+    def _start_serving(self, protocol_factory, sock,
+                       sslcontext=None, server=None):
 
         def loop(f=None):
             try:
@@ -467,9 +481,14 @@
                         logger.debug("%r got a new connection from %r: %r",
                                      server, addr, conn)
                     protocol = protocol_factory()
-                    self._make_socket_transport(
-                        conn, protocol,
-                        extra={'peername': addr}, server=server)
+                    if sslcontext is not None:
+                        self._make_ssl_transport(
+                            conn, protocol, sslcontext, server_side=True,
+                            extra={'peername': addr}, server=server)
+                    else:
+                        self._make_socket_transport(
+                            conn, protocol,
+                            extra={'peername': addr}, server=server)
                 if self.is_closed():
                     return
                 f = self._proactor.accept(sock)
diff --git a/Lib/asyncio/selector_events.py b/Lib/asyncio/selector_events.py
index 307a9ad..b2f29c7 100644
--- a/Lib/asyncio/selector_events.py
+++ b/Lib/asyncio/selector_events.py
@@ -10,6 +10,7 @@
 import errno
 import functools
 import socket
+import sys
 try:
     import ssl
 except ImportError:  # pragma: no cover
@@ -21,6 +22,7 @@
 from . import futures
 from . import selectors
 from . import transports
+from . import sslproto
 from .log import logger
 
 
@@ -58,6 +60,24 @@
     def _make_ssl_transport(self, rawsock, protocol, sslcontext, waiter=None,
                             *, server_side=False, server_hostname=None,
                             extra=None, server=None):
+        if not sslproto._is_sslproto_available():
+            return self._make_legacy_ssl_transport(
+                rawsock, protocol, sslcontext, waiter,
+                server_side=server_side, server_hostname=server_hostname,
+                extra=extra, server=server)
+
+        ssl_protocol = sslproto.SSLProtocol(self, protocol, sslcontext, waiter,
+                                            server_side, server_hostname)
+        _SelectorSocketTransport(self, rawsock, ssl_protocol,
+                                 extra=extra, server=server)
+        return ssl_protocol._app_transport
+
+    def _make_legacy_ssl_transport(self, rawsock, protocol, sslcontext,
+                                   waiter, *,
+                                   server_side=False, server_hostname=None,
+                                   extra=None, server=None):
+        # Use the legacy API: SSL_write, SSL_read, etc. The legacy API is used
+        # on Python 3.4 and older, when ssl.MemoryBIO is not available.
         return _SelectorSslTransport(
             self, rawsock, protocol, sslcontext, waiter,
             server_side, server_hostname, extra, server)
@@ -508,7 +528,8 @@
 
     def _fatal_error(self, exc, message='Fatal error on transport'):
         # Should be called from exception handler only.
-        if isinstance(exc, (BrokenPipeError, ConnectionResetError)):
+        if isinstance(exc, (BrokenPipeError,
+                            ConnectionResetError, ConnectionAbortedError)):
             if self._loop.get_debug():
                 logger.debug("%r: %s", self, message, exc_info=True)
         else:
@@ -683,26 +704,8 @@
         if ssl is None:
             raise RuntimeError('stdlib ssl module not available')
 
-        if server_side:
-            if not sslcontext:
-                raise ValueError('Server side ssl needs a valid SSLContext')
-        else:
-            if not sslcontext:
-                # Client side may pass ssl=True to use a default
-                # context; in that case the sslcontext passed is None.
-                # The default is secure for client connections.
-                if hasattr(ssl, 'create_default_context'):
-                    # Python 3.4+: use up-to-date strong settings.
-                    sslcontext = ssl.create_default_context()
-                    if not server_hostname:
-                        sslcontext.check_hostname = False
-                else:
-                    # Fallback for Python 3.3.
-                    sslcontext = ssl.SSLContext(ssl.PROTOCOL_SSLv23)
-                    sslcontext.options |= ssl.OP_NO_SSLv2
-                    sslcontext.options |= ssl.OP_NO_SSLv3
-                    sslcontext.set_default_verify_paths()
-                    sslcontext.verify_mode = ssl.CERT_REQUIRED
+        if not sslcontext:
+            sslcontext = sslproto._create_transport_context(server_side, server_hostname)
 
         wrap_kwargs = {
             'server_side': server_side,
diff --git a/Lib/asyncio/sslproto.py b/Lib/asyncio/sslproto.py
new file mode 100644
index 0000000..987c158
--- /dev/null
+++ b/Lib/asyncio/sslproto.py
@@ -0,0 +1,640 @@
+import collections
+try:
+    import ssl
+except ImportError:  # pragma: no cover
+    ssl = None
+
+from . import protocols
+from . import transports
+from .log import logger
+
+
+def _create_transport_context(server_side, server_hostname):
+    if server_side:
+        raise ValueError('Server side SSL needs a valid SSLContext')
+
+    # Client side may pass ssl=True to use a default
+    # context; in that case the sslcontext passed is None.
+    # The default is secure for client connections.
+    if hasattr(ssl, 'create_default_context'):
+        # Python 3.4+: use up-to-date strong settings.
+        sslcontext = ssl.create_default_context()
+        if not server_hostname:
+            sslcontext.check_hostname = False
+    else:
+        # Fallback for Python 3.3.
+        sslcontext = ssl.SSLContext(ssl.PROTOCOL_SSLv23)
+        sslcontext.options |= ssl.OP_NO_SSLv2
+        sslcontext.options |= ssl.OP_NO_SSLv3
+        sslcontext.set_default_verify_paths()
+        sslcontext.verify_mode = ssl.CERT_REQUIRED
+    return sslcontext
+
+
+def _is_sslproto_available():
+    return hasattr(ssl, "MemoryBIO")
+
+
+# States of an _SSLPipe.
+_UNWRAPPED = "UNWRAPPED"
+_DO_HANDSHAKE = "DO_HANDSHAKE"
+_WRAPPED = "WRAPPED"
+_SHUTDOWN = "SHUTDOWN"
+
+
+class _SSLPipe(object):
+    """An SSL "Pipe".
+
+    An SSL pipe allows you to communicate with an SSL/TLS protocol instance
+    through memory buffers. It can be used to implement a security layer for an
+    existing connection where you don't have access to the connection's file
+    descriptor, or for some reason you don't want to use it.
+
+    An SSL pipe can be in "wrapped" and "unwrapped" mode. In unwrapped mode,
+    data is passed through untransformed. In wrapped mode, application level
+    data is encrypted to SSL record level data and vice versa. The SSL record
+    level is the lowest level in the SSL protocol suite and is what travels
+    as-is over the wire.
+
+    An SslPipe initially is in "unwrapped" mode. To start SSL, call
+    do_handshake(). To shutdown SSL again, call unwrap().
+    """
+
+    max_size = 256 * 1024   # Buffer size passed to read()
+
+    def __init__(self, context, server_side, server_hostname=None):
+        """
+        The *context* argument specifies the ssl.SSLContext to use.
+
+        The *server_side* argument indicates whether this is a server side or
+        client side transport.
+
+        The optional *server_hostname* argument can be used to specify the
+        hostname you are connecting to. You may only specify this parameter if
+        the _ssl module supports Server Name Indication (SNI).
+        """
+        self._context = context
+        self._server_side = server_side
+        self._server_hostname = server_hostname
+        self._state = _UNWRAPPED
+        self._incoming = ssl.MemoryBIO()
+        self._outgoing = ssl.MemoryBIO()
+        self._sslobj = None
+        self._need_ssldata = False
+        self._handshake_cb = None
+        self._shutdown_cb = None
+
+    @property
+    def context(self):
+        """The SSL context passed to the constructor."""
+        return self._context
+
+    @property
+    def ssl_object(self):
+        """The internal ssl.SSLObject instance.
+
+        Return None if the pipe is not wrapped.
+        """
+        return self._sslobj
+
+    @property
+    def need_ssldata(self):
+        """Whether more record level data is needed to complete a handshake
+        that is currently in progress."""
+        return self._need_ssldata
+
+    @property
+    def wrapped(self):
+        """
+        Whether a security layer is currently in effect.
+
+        Return False during handshake.
+        """
+        return self._state == _WRAPPED
+
+    def do_handshake(self, callback=None):
+        """Start the SSL handshake.
+
+        Return a list of ssldata. A ssldata element is a list of buffers
+
+        The optional *callback* argument can be used to install a callback that
+        will be called when the handshake is complete. The callback will be
+        called with None if successful, else an exception instance.
+        """
+        if self._state != _UNWRAPPED:
+            raise RuntimeError('handshake in progress or completed')
+        self._sslobj = self._context.wrap_bio(
+            self._incoming, self._outgoing,
+            server_side=self._server_side,
+            server_hostname=self._server_hostname)
+        self._state = _DO_HANDSHAKE
+        self._handshake_cb = callback
+        ssldata, appdata = self.feed_ssldata(b'', only_handshake=True)
+        assert len(appdata) == 0
+        return ssldata
+
+    def shutdown(self, callback=None):
+        """Start the SSL shutdown sequence.
+
+        Return a list of ssldata. A ssldata element is a list of buffers
+
+        The optional *callback* argument can be used to install a callback that
+        will be called when the shutdown is complete. The callback will be
+        called without arguments.
+        """
+        if self._state == _UNWRAPPED:
+            raise RuntimeError('no security layer present')
+        if self._state == _SHUTDOWN:
+            raise RuntimeError('shutdown in progress')
+        assert self._state in (_WRAPPED, _DO_HANDSHAKE)
+        self._state = _SHUTDOWN
+        self._shutdown_cb = callback
+        ssldata, appdata = self.feed_ssldata(b'')
+        assert appdata == [] or appdata == [b'']
+        return ssldata
+
+    def feed_eof(self):
+        """Send a potentially "ragged" EOF.
+
+        This method will raise an SSL_ERROR_EOF exception if the EOF is
+        unexpected.
+        """
+        self._incoming.write_eof()
+        ssldata, appdata = self.feed_ssldata(b'')
+        assert appdata == [] or appdata == [b'']
+
+    def feed_ssldata(self, data, only_handshake=False):
+        """Feed SSL record level data into the pipe.
+
+        The data must be a bytes instance. It is OK to send an empty bytes
+        instance. This can be used to get ssldata for a handshake initiated by
+        this endpoint.
+
+        Return a (ssldata, appdata) tuple. The ssldata element is a list of
+        buffers containing SSL data that needs to be sent to the remote SSL.
+
+        The appdata element is a list of buffers containing plaintext data that
+        needs to be forwarded to the application. The appdata list may contain
+        an empty buffer indicating an SSL "close_notify" alert. This alert must
+        be acknowledged by calling shutdown().
+        """
+        if self._state == _UNWRAPPED:
+            # If unwrapped, pass plaintext data straight through.
+            if data:
+                appdata = [data]
+            else:
+                appdata = []
+            return ([], appdata)
+
+        self._need_ssldata = False
+        if data:
+            self._incoming.write(data)
+
+        ssldata = []
+        appdata = []
+        try:
+            if self._state == _DO_HANDSHAKE:
+                # Call do_handshake() until it doesn't raise anymore.
+                self._sslobj.do_handshake()
+                self._state = _WRAPPED
+                if self._handshake_cb:
+                    self._handshake_cb(None)
+                if only_handshake:
+                    return (ssldata, appdata)
+                # Handshake done: execute the wrapped block
+
+            if self._state == _WRAPPED:
+                # Main state: read data from SSL until close_notify
+                while True:
+                    chunk = self._sslobj.read(self.max_size)
+                    appdata.append(chunk)
+                    if not chunk:  # close_notify
+                        break
+
+            elif self._state == _SHUTDOWN:
+                # Call shutdown() until it doesn't raise anymore.
+                self._sslobj.unwrap()
+                self._sslobj = None
+                self._state = _UNWRAPPED
+                if self._shutdown_cb:
+                    self._shutdown_cb()
+
+            elif self._state == _UNWRAPPED:
+                # Drain possible plaintext data after close_notify.
+                appdata.append(self._incoming.read())
+        except (ssl.SSLError, ssl.CertificateError) as exc:
+            if getattr(exc, 'errno', None) not in (
+                    ssl.SSL_ERROR_WANT_READ, ssl.SSL_ERROR_WANT_WRITE,
+                    ssl.SSL_ERROR_SYSCALL):
+                if self._state == _DO_HANDSHAKE and self._handshake_cb:
+                    self._handshake_cb(exc)
+                raise
+            self._need_ssldata = (exc.errno == ssl.SSL_ERROR_WANT_READ)
+
+        # Check for record level data that needs to be sent back.
+        # Happens for the initial handshake and renegotiations.
+        if self._outgoing.pending:
+            ssldata.append(self._outgoing.read())
+        return (ssldata, appdata)
+
+    def feed_appdata(self, data, offset=0):
+        """Feed plaintext data into the pipe.
+
+        Return an (ssldata, offset) tuple. The ssldata element is a list of
+        buffers containing record level data that needs to be sent to the
+        remote SSL instance. The offset is the number of plaintext bytes that
+        were processed, which may be less than the length of data.
+
+        NOTE: In case of short writes, this call MUST be retried with the SAME
+        buffer passed into the *data* argument (i.e. the id() must be the
+        same). This is an OpenSSL requirement. A further particularity is that
+        a short write will always have offset == 0, because the _ssl module
+        does not enable partial writes. And even though the offset is zero,
+        there will still be encrypted data in ssldata.
+        """
+        assert 0 <= offset <= len(data)
+        if self._state == _UNWRAPPED:
+            # pass through data in unwrapped mode
+            if offset < len(data):
+                ssldata = [data[offset:]]
+            else:
+                ssldata = []
+            return (ssldata, len(data))
+
+        ssldata = []
+        view = memoryview(data)
+        while True:
+            self._need_ssldata = False
+            try:
+                if offset < len(view):
+                    offset += self._sslobj.write(view[offset:])
+            except ssl.SSLError as exc:
+                # It is not allowed to call write() after unwrap() until the
+                # close_notify is acknowledged. We return the condition to the
+                # caller as a short write.
+                if exc.reason == 'PROTOCOL_IS_SHUTDOWN':
+                    exc.errno = ssl.SSL_ERROR_WANT_READ
+                if exc.errno not in (ssl.SSL_ERROR_WANT_READ,
+                                     ssl.SSL_ERROR_WANT_WRITE,
+                                     ssl.SSL_ERROR_SYSCALL):
+                    raise
+                self._need_ssldata = (exc.errno == ssl.SSL_ERROR_WANT_READ)
+
+            # See if there's any record level data back for us.
+            if self._outgoing.pending:
+                ssldata.append(self._outgoing.read())
+            if offset == len(view) or self._need_ssldata:
+                break
+        return (ssldata, offset)
+
+
+class _SSLProtocolTransport(transports._FlowControlMixin,
+                            transports.Transport):
+
+    def __init__(self, loop, ssl_protocol, app_protocol):
+        self._loop = loop
+        self._ssl_protocol = ssl_protocol
+        self._app_protocol = app_protocol
+
+    def get_extra_info(self, name, default=None):
+        """Get optional transport information."""
+        return self._ssl_protocol._get_extra_info(name, default)
+
+    def close(self):
+        """Close the transport.
+
+        Buffered data will be flushed asynchronously.  No more data
+        will be received.  After all buffered data is flushed, the
+        protocol's connection_lost() method will (eventually) called
+        with None as its argument.
+        """
+        self._ssl_protocol._start_shutdown()
+
+    def pause_reading(self):
+        """Pause the receiving end.
+
+        No data will be passed to the protocol's data_received()
+        method until resume_reading() is called.
+        """
+        self._ssl_protocol._transport.pause_reading()
+
+    def resume_reading(self):
+        """Resume the receiving end.
+
+        Data received will once again be passed to the protocol's
+        data_received() method.
+        """
+        self._ssl_protocol._transport.resume_reading()
+
+    def set_write_buffer_limits(self, high=None, low=None):
+        """Set the high- and low-water limits for write flow control.
+
+        These two values control when to call the protocol's
+        pause_writing() and resume_writing() methods.  If specified,
+        the low-water limit must be less than or equal to the
+        high-water limit.  Neither value can be negative.
+
+        The defaults are implementation-specific.  If only the
+        high-water limit is given, the low-water limit defaults to a
+        implementation-specific value less than or equal to the
+        high-water limit.  Setting high to zero forces low to zero as
+        well, and causes pause_writing() to be called whenever the
+        buffer becomes non-empty.  Setting low to zero causes
+        resume_writing() to be called only once the buffer is empty.
+        Use of zero for either limit is generally sub-optimal as it
+        reduces opportunities for doing I/O and computation
+        concurrently.
+        """
+        self._ssl_protocol._transport.set_write_buffer_limits(high, low)
+
+    def get_write_buffer_size(self):
+        """Return the current size of the write buffer."""
+        return self._ssl_protocol._transport.get_write_buffer_size()
+
+    def write(self, data):
+        """Write some data bytes to the transport.
+
+        This does not block; it buffers the data and arranges for it
+        to be sent out asynchronously.
+        """
+        if not isinstance(data, (bytes, bytearray, memoryview)):
+            raise TypeError("data: expecting a bytes-like instance, got {!r}"
+                                .format(type(data).__name__))
+        if not data:
+            return
+        self._ssl_protocol._write_appdata(data)
+
+    def can_write_eof(self):
+        """Return True if this transport supports write_eof(), False if not."""
+        return False
+
+    def abort(self):
+        """Close the transport immediately.
+
+        Buffered data will be lost.  No more data will be received.
+        The protocol's connection_lost() method will (eventually) be
+        called with None as its argument.
+        """
+        self._ssl_protocol._abort()
+
+
+class SSLProtocol(protocols.Protocol):
+    """SSL protocol.
+
+    Implementation of SSL on top of a socket using incoming and outgoing
+    buffers which are ssl.MemoryBIO objects.
+    """
+
+    def __init__(self, loop, app_protocol, sslcontext, waiter,
+                 server_side=False, server_hostname=None):
+        if ssl is None:
+            raise RuntimeError('stdlib ssl module not available')
+
+        if not sslcontext:
+            sslcontext = _create_transport_context(server_side, server_hostname)
+
+        self._server_side = server_side
+        if server_hostname and not server_side:
+            self._server_hostname = server_hostname
+        else:
+            self._server_hostname = None
+        self._sslcontext = sslcontext
+        # SSL-specific extra info. More info are set when the handshake
+        # completes.
+        self._extra = dict(sslcontext=sslcontext)
+
+        # App data write buffering
+        self._write_backlog = collections.deque()
+        self._write_buffer_size = 0
+
+        self._waiter = waiter
+        self._closing = False
+        self._loop = loop
+        self._app_protocol = app_protocol
+        self._app_transport = _SSLProtocolTransport(self._loop,
+                                                    self, self._app_protocol)
+        self._sslpipe = None
+        self._session_established = False
+        self._in_handshake = False
+        self._in_shutdown = False
+
+    def connection_made(self, transport):
+        """Called when the low-level connection is made.
+
+        Start the SSL handshake.
+        """
+        self._transport = transport
+        self._sslpipe = _SSLPipe(self._sslcontext,
+                                 self._server_side,
+                                 self._server_hostname)
+        self._start_handshake()
+
+    def connection_lost(self, exc):
+        """Called when the low-level connection is lost or closed.
+
+        The argument is an exception object or None (the latter
+        meaning a regular EOF is received or the connection was
+        aborted or closed).
+        """
+        if self._session_established:
+            self._session_established = False
+            self._loop.call_soon(self._app_protocol.connection_lost, exc)
+        self._transport = None
+        self._app_transport = None
+
+    def pause_writing(self):
+        """Called when the low-level transport's buffer goes over
+        the high-water mark.
+        """
+        self._app_protocol.pause_writing()
+
+    def resume_writing(self):
+        """Called when the low-level transport's buffer drains below
+        the low-water mark.
+        """
+        self._app_protocol.resume_writing()
+
+    def data_received(self, data):
+        """Called when some SSL data is received.
+
+        The argument is a bytes object.
+        """
+        try:
+            ssldata, appdata = self._sslpipe.feed_ssldata(data)
+        except ssl.SSLError as e:
+            if self._loop.get_debug():
+                logger.warning('%r: SSL error %s (reason %s)',
+                               self, e.errno, e.reason)
+            self._abort()
+            return
+
+        for chunk in ssldata:
+            self._transport.write(chunk)
+
+        for chunk in appdata:
+            if chunk:
+                self._app_protocol.data_received(chunk)
+            else:
+                self._start_shutdown()
+                break
+
+    def eof_received(self):
+        """Called when the other end of the low-level stream
+        is half-closed.
+
+        If this returns a false value (including None), the transport
+        will close itself.  If it returns a true value, closing the
+        transport is up to the protocol.
+        """
+        try:
+            if self._loop.get_debug():
+                logger.debug("%r received EOF", self)
+            if not self._in_handshake:
+                keep_open = self._app_protocol.eof_received()
+                if keep_open:
+                    logger.warning('returning true from eof_received() '
+                                   'has no effect when using ssl')
+        finally:
+            self._transport.close()
+
+    def _get_extra_info(self, name, default=None):
+        if name in self._extra:
+            return self._extra[name]
+        else:
+            return self._transport.get_extra_info(name, default)
+
+    def _start_shutdown(self):
+        if self._in_shutdown:
+            return
+        self._in_shutdown = True
+        self._write_appdata(b'')
+
+    def _write_appdata(self, data):
+        self._write_backlog.append((data, 0))
+        self._write_buffer_size += len(data)
+        self._process_write_backlog()
+
+    def _start_handshake(self):
+        if self._loop.get_debug():
+            logger.debug("%r starts SSL handshake", self)
+            self._handshake_start_time = self._loop.time()
+        else:
+            self._handshake_start_time = None
+        self._in_handshake = True
+        # (b'', 1) is a special value in _process_write_backlog() to do
+        # the SSL handshake
+        self._write_backlog.append((b'', 1))
+        self._loop.call_soon(self._process_write_backlog)
+
+    def _on_handshake_complete(self, handshake_exc):
+        self._in_handshake = False
+
+        sslobj = self._sslpipe.ssl_object
+        peercert = None if handshake_exc else sslobj.getpeercert()
+        try:
+            if handshake_exc is not None:
+                raise handshake_exc
+            if not hasattr(self._sslcontext, 'check_hostname'):
+                # Verify hostname if requested, Python 3.4+ uses check_hostname
+                # and checks the hostname in do_handshake()
+                if (self._server_hostname
+                and self._sslcontext.verify_mode != ssl.CERT_NONE):
+                    ssl.match_hostname(peercert, self._server_hostname)
+        except BaseException as exc:
+            if self._loop.get_debug():
+                if isinstance(exc, ssl.CertificateError):
+                    logger.warning("%r: SSL handshake failed "
+                                   "on verifying the certificate",
+                                   self, exc_info=True)
+                else:
+                    logger.warning("%r: SSL handshake failed",
+                                   self, exc_info=True)
+            self._transport.close()
+            if isinstance(exc, Exception):
+                if self._waiter is not None:
+                    self._waiter.set_exception(exc)
+                return
+            else:
+                raise
+
+        if self._loop.get_debug():
+            dt = self._loop.time() - self._handshake_start_time
+            logger.debug("%r: SSL handshake took %.1f ms", self, dt * 1e3)
+
+        # Add extra info that becomes available after handshake.
+        self._extra.update(peercert=peercert,
+                           cipher=sslobj.cipher(),
+                           compression=sslobj.compression(),
+                           )
+        self._app_protocol.connection_made(self._app_transport)
+        if self._waiter is not None:
+            # wait until protocol.connection_made() has been called
+            self._waiter._set_result_unless_cancelled(None)
+        self._session_established = True
+        # In case transport.write() was already called
+        self._process_write_backlog()
+
+    def _process_write_backlog(self):
+        # Try to make progress on the write backlog.
+        if self._transport is None:
+            return
+
+        try:
+            for i in range(len(self._write_backlog)):
+                data, offset = self._write_backlog[0]
+                if data:
+                    ssldata, offset = self._sslpipe.feed_appdata(data, offset)
+                elif offset:
+                    ssldata = self._sslpipe.do_handshake(self._on_handshake_complete)
+                    offset = 1
+                else:
+                    ssldata = self._sslpipe.shutdown(self._finalize)
+                    offset = 1
+
+                for chunk in ssldata:
+                    self._transport.write(chunk)
+
+                if offset < len(data):
+                    self._write_backlog[0] = (data, offset)
+                    # A short write means that a write is blocked on a read
+                    # We need to enable reading if it is paused!
+                    assert self._sslpipe.need_ssldata
+                    if self._transport._paused:
+                        self._transport.resume_reading()
+                    break
+
+                # An entire chunk from the backlog was processed. We can
+                # delete it and reduce the outstanding buffer size.
+                del self._write_backlog[0]
+                self._write_buffer_size -= len(data)
+        except BaseException as exc:
+            if self._in_handshake:
+                self._on_handshake_complete(exc)
+            else:
+                self._fatal_error(exc, 'Fatal error on SSL transport')
+
+    def _fatal_error(self, exc, message='Fatal error on transport'):
+        # Should be called from exception handler only.
+        if isinstance(exc, (BrokenPipeError, ConnectionResetError)):
+            if self._loop.get_debug():
+                logger.debug("%r: %s", self, message, exc_info=True)
+        else:
+            self._loop.call_exception_handler({
+                'message': message,
+                'exception': exc,
+                'transport': self._transport,
+                'protocol': self,
+            })
+        if self._transport:
+            self._transport._force_close(exc)
+
+    def _finalize(self):
+        if self._transport is not None:
+            self._transport.close()
+
+    def _abort(self):
+        if self._transport is not None:
+            try:
+                self._transport.abort()
+            finally:
+                self._finalize()
diff --git a/Lib/asyncio/test_utils.py b/Lib/asyncio/test_utils.py
index 3e5eee5..180bafa 100644
--- a/Lib/asyncio/test_utils.py
+++ b/Lib/asyncio/test_utils.py
@@ -434,3 +434,8 @@
     sock = mock.Mock(socket.socket)
     sock.gettimeout.return_value = 0.0
     return sock
+
+
+def force_legacy_ssl_support():
+    return mock.patch('asyncio.sslproto._is_sslproto_available',
+                      return_value=False)
diff --git a/Lib/test/test_asyncio/test_events.py b/Lib/test/test_asyncio/test_events.py
index af2da1f..a2c6dc9 100644
--- a/Lib/test/test_asyncio/test_events.py
+++ b/Lib/test/test_asyncio/test_events.py
@@ -650,6 +650,10 @@
                 *httpd.address)
             self._test_create_ssl_connection(httpd, create_connection)
 
+    def test_legacy_create_ssl_connection(self):
+        with test_utils.force_legacy_ssl_support():
+            self.test_create_ssl_connection()
+
     @unittest.skipIf(ssl is None, 'No ssl module')
     @unittest.skipUnless(hasattr(socket, 'AF_UNIX'), 'No UNIX Sockets')
     def test_create_ssl_unix_connection(self):
@@ -666,6 +670,10 @@
             self._test_create_ssl_connection(httpd, create_connection,
                                              check_sockname)
 
+    def test_legacy_create_ssl_unix_connection(self):
+        with test_utils.force_legacy_ssl_support():
+            self.test_create_ssl_unix_connection()
+
     def test_create_connection_local_addr(self):
         with test_utils.run_test_server() as httpd:
             port = support.find_unused_port()
@@ -826,6 +834,10 @@
         # stop serving
         server.close()
 
+    def test_legacy_create_server_ssl(self):
+        with test_utils.force_legacy_ssl_support():
+            self.test_create_server_ssl()
+
     @unittest.skipIf(ssl is None, 'No ssl module')
     @unittest.skipUnless(hasattr(socket, 'AF_UNIX'), 'No UNIX Sockets')
     def test_create_unix_server_ssl(self):
@@ -857,6 +869,10 @@
         # stop serving
         server.close()
 
+    def test_legacy_create_unix_server_ssl(self):
+        with test_utils.force_legacy_ssl_support():
+            self.test_create_unix_server_ssl()
+
     @unittest.skipIf(ssl is None, 'No ssl module')
     def test_create_server_ssl_verify_failed(self):
         proto = MyProto(loop=self.loop)
@@ -881,6 +897,10 @@
         self.assertIsNone(proto.transport)
         server.close()
 
+    def test_legacy_create_server_ssl_verify_failed(self):
+        with test_utils.force_legacy_ssl_support():
+            self.test_create_server_ssl_verify_failed()
+
     @unittest.skipIf(ssl is None, 'No ssl module')
     @unittest.skipUnless(hasattr(socket, 'AF_UNIX'), 'No UNIX Sockets')
     def test_create_unix_server_ssl_verify_failed(self):
@@ -907,6 +927,10 @@
         self.assertIsNone(proto.transport)
         server.close()
 
+    def test_legacy_create_unix_server_ssl_verify_failed(self):
+        with test_utils.force_legacy_ssl_support():
+            self.test_create_unix_server_ssl_verify_failed()
+
     @unittest.skipIf(ssl is None, 'No ssl module')
     def test_create_server_ssl_match_failed(self):
         proto = MyProto(loop=self.loop)
@@ -934,6 +958,10 @@
         proto.transport.close()
         server.close()
 
+    def test_legacy_create_server_ssl_match_failed(self):
+        with test_utils.force_legacy_ssl_support():
+            self.test_create_server_ssl_match_failed()
+
     @unittest.skipIf(ssl is None, 'No ssl module')
     @unittest.skipUnless(hasattr(socket, 'AF_UNIX'), 'No UNIX Sockets')
     def test_create_unix_server_ssl_verified(self):
@@ -958,6 +986,11 @@
         proto.transport.close()
         client.close()
         server.close()
+        self.loop.run_until_complete(proto.done)
+
+    def test_legacy_create_unix_server_ssl_verified(self):
+        with test_utils.force_legacy_ssl_support():
+            self.test_create_unix_server_ssl_verified()
 
     @unittest.skipIf(ssl is None, 'No ssl module')
     def test_create_server_ssl_verified(self):
@@ -982,6 +1015,11 @@
         proto.transport.close()
         client.close()
         server.close()
+        self.loop.run_until_complete(proto.done)
+
+    def test_legacy_create_server_ssl_verified(self):
+        with test_utils.force_legacy_ssl_support():
+            self.test_create_server_ssl_verified()
 
     def test_create_server_sock(self):
         proto = asyncio.Future(loop=self.loop)
@@ -1746,20 +1784,20 @@
         def create_event_loop(self):
             return asyncio.ProactorEventLoop()
 
-        def test_create_ssl_connection(self):
-            raise unittest.SkipTest("IocpEventLoop incompatible with SSL")
+        def test_legacy_create_ssl_connection(self):
+            raise unittest.SkipTest("IocpEventLoop incompatible with legacy SSL")
 
-        def test_create_server_ssl(self):
-            raise unittest.SkipTest("IocpEventLoop incompatible with SSL")
+        def test_legacy_create_server_ssl(self):
+            raise unittest.SkipTest("IocpEventLoop incompatible with legacy SSL")
 
-        def test_create_server_ssl_verify_failed(self):
-            raise unittest.SkipTest("IocpEventLoop incompatible with SSL")
+        def test_legacy_create_server_ssl_verify_failed(self):
+            raise unittest.SkipTest("IocpEventLoop incompatible with legacy SSL")
 
-        def test_create_server_ssl_match_failed(self):
-            raise unittest.SkipTest("IocpEventLoop incompatible with SSL")
+        def test_legacy_create_server_ssl_match_failed(self):
+            raise unittest.SkipTest("IocpEventLoop incompatible with legacy SSL")
 
-        def test_create_server_ssl_verified(self):
-            raise unittest.SkipTest("IocpEventLoop incompatible with SSL")
+        def test_legacy_create_server_ssl_verified(self):
+            raise unittest.SkipTest("IocpEventLoop incompatible with legacy SSL")
 
         def test_reader_callback(self):
             raise unittest.SkipTest("IocpEventLoop does not have add_reader()")
diff --git a/Lib/test/test_asyncio/test_selector_events.py b/Lib/test/test_asyncio/test_selector_events.py
index ff114f8..360327a 100644
--- a/Lib/test/test_asyncio/test_selector_events.py
+++ b/Lib/test/test_asyncio/test_selector_events.py
@@ -59,9 +59,13 @@
         with test_utils.disable_logger():
             transport = self.loop._make_ssl_transport(
                 m, asyncio.Protocol(), m, waiter)
-        self.assertIsInstance(transport, _SelectorSslTransport)
+        # Sanity check
+        class_name = transport.__class__.__name__
+        self.assertIn("ssl", class_name.lower())
+        self.assertIn("transport", class_name.lower())
 
     @mock.patch('asyncio.selector_events.ssl', None)
+    @mock.patch('asyncio.sslproto.ssl', None)
     def test_make_ssl_transport_without_ssl_error(self):
         m = mock.Mock()
         self.loop.add_reader = mock.Mock()