diff --git a/Doc/library/ssl.rst b/Doc/library/ssl.rst
index 011d378..09a2961 100644
--- a/Doc/library/ssl.rst
+++ b/Doc/library/ssl.rst
@@ -289,6 +289,9 @@
 
    Selects SSL version 2 as the channel encryption protocol.
 
+   This protocol is not available if OpenSSL is compiled with OPENSSL_NO_SSL2
+   flag.
+
    .. warning::
 
       SSL version 2 is insecure.  Its use is highly discouraged.
diff --git a/Lib/ssl.py b/Lib/ssl.py
index e7c175f..b12b9fd 100644
--- a/Lib/ssl.py
+++ b/Lib/ssl.py
@@ -62,8 +62,6 @@
 from _ssl import OPENSSL_VERSION_NUMBER, OPENSSL_VERSION_INFO, OPENSSL_VERSION
 from _ssl import _SSLContext, SSLError
 from _ssl import CERT_NONE, CERT_OPTIONAL, CERT_REQUIRED
-from _ssl import (PROTOCOL_SSLv2, PROTOCOL_SSLv3, PROTOCOL_SSLv23,
-                  PROTOCOL_TLSv1)
 from _ssl import OP_ALL, OP_NO_SSLv2, OP_NO_SSLv3, OP_NO_TLSv1
 from _ssl import RAND_status, RAND_egd, RAND_add
 from _ssl import (
@@ -78,6 +76,18 @@
     SSL_ERROR_INVALID_ERROR_CODE,
     )
 from _ssl import HAS_SNI
+from _ssl import PROTOCOL_SSLv3, PROTOCOL_SSLv23, PROTOCOL_TLSv1
+_PROTOCOL_NAMES = {
+    PROTOCOL_TLSv1: "TLSv1",
+    PROTOCOL_SSLv23: "SSLv23",
+    PROTOCOL_SSLv3: "SSLv3",
+}
+try:
+    from _ssl import PROTOCOL_SSLv2
+except ImportError:
+    pass
+else:
+    _PROTOCOL_NAMES[PROTOCOL_SSLv2] = "SSLv2"
 
 from socket import getnameinfo as _getnameinfo
 from socket import error as socket_error
@@ -552,13 +562,4 @@
     return DER_cert_to_PEM_cert(dercert)
 
 def get_protocol_name(protocol_code):
-    if protocol_code == PROTOCOL_TLSv1:
-        return "TLSv1"
-    elif protocol_code == PROTOCOL_SSLv23:
-        return "SSLv23"
-    elif protocol_code == PROTOCOL_SSLv2:
-        return "SSLv2"
-    elif protocol_code == PROTOCOL_SSLv3:
-        return "SSLv3"
-    else:
-        return "<unknown>"
+    return _PROTOCOL_NAMES.get(protocol_code, '<unknown>')
diff --git a/Lib/test/test_ssl.py b/Lib/test/test_ssl.py
index ba788e4..f65aceb 100644
--- a/Lib/test/test_ssl.py
+++ b/Lib/test/test_ssl.py
@@ -21,9 +21,11 @@
 ssl = support.import_module("ssl")
 
 PROTOCOLS = [
-    ssl.PROTOCOL_SSLv2, ssl.PROTOCOL_SSLv3,
+    ssl.PROTOCOL_SSLv3,
     ssl.PROTOCOL_SSLv23, ssl.PROTOCOL_TLSv1
 ]
+if hasattr(ssl, 'PROTOCOL_SSLv2'):
+    PROTOCOLS.append(ssl.PROTOCOL_SSLv2)
 
 HOST = support.HOST
 
@@ -67,22 +69,25 @@
 
 # Issue #9415: Ubuntu hijacks their OpenSSL and forcefully disables SSLv2
 def skip_if_broken_ubuntu_ssl(func):
-    @functools.wraps(func)
-    def f(*args, **kwargs):
-        try:
-            ssl.SSLContext(ssl.PROTOCOL_SSLv2)
-        except ssl.SSLError:
-            if (ssl.OPENSSL_VERSION_INFO == (0, 9, 8, 15, 15) and
-                platform.linux_distribution() == ('debian', 'squeeze/sid', '')):
-                raise unittest.SkipTest("Patched Ubuntu OpenSSL breaks behaviour")
-        return func(*args, **kwargs)
-    return f
+    if hasattr(ssl, 'PROTOCOL_SSLv2'):
+        @functools.wraps(func)
+        def f(*args, **kwargs):
+            try:
+                ssl.SSLContext(ssl.PROTOCOL_SSLv2)
+            except ssl.SSLError:
+                if (ssl.OPENSSL_VERSION_INFO == (0, 9, 8, 15, 15) and
+                    platform.linux_distribution() == ('debian', 'squeeze/sid', '')):
+                    raise unittest.SkipTest("Patched Ubuntu OpenSSL breaks behaviour")
+            return func(*args, **kwargs)
+        return f
+    else:
+        return func
 
 
 class BasicSocketTests(unittest.TestCase):
 
     def test_constants(self):
-        ssl.PROTOCOL_SSLv2
+        #ssl.PROTOCOL_SSLv2
         ssl.PROTOCOL_SSLv23
         ssl.PROTOCOL_SSLv3
         ssl.PROTOCOL_TLSv1
@@ -310,7 +315,8 @@
 
     @skip_if_broken_ubuntu_ssl
     def test_constructor(self):
-        ctx = ssl.SSLContext(ssl.PROTOCOL_SSLv2)
+        if hasattr(ssl, 'PROTOCOL_SSLv2'):
+            ctx = ssl.SSLContext(ssl.PROTOCOL_SSLv2)
         ctx = ssl.SSLContext(ssl.PROTOCOL_SSLv23)
         ctx = ssl.SSLContext(ssl.PROTOCOL_SSLv3)
         ctx = ssl.SSLContext(ssl.PROTOCOL_TLSv1)
@@ -1199,6 +1205,7 @@
                 t.join()
 
         @skip_if_broken_ubuntu_ssl
+        @unittest.skipUnless(hasattr(ssl, 'PROTOCOL_SSLv2'), "need SSLv2")
         def test_protocol_sslv2(self):
             """Connecting to an SSLv2 server with various client options"""
             if support.verbose:
@@ -1224,14 +1231,15 @@
             """Connecting to an SSLv23 server with various client options"""
             if support.verbose:
                 sys.stdout.write("\n")
-            try:
-                try_protocol_combo(ssl.PROTOCOL_SSLv23, ssl.PROTOCOL_SSLv2, True)
-            except (ssl.SSLError, socket.error) as x:
-                # this fails on some older versions of OpenSSL (0.9.7l, for instance)
-                if support.verbose:
-                    sys.stdout.write(
-                        " SSL2 client to SSL23 server test unexpectedly failed:\n %s\n"
-                        % str(x))
+            if hasattr(ssl, 'PROTOCOL_SSLv2'):
+                try:
+                    try_protocol_combo(ssl.PROTOCOL_SSLv23, ssl.PROTOCOL_SSLv2, True)
+                except (ssl.SSLError, socket.error) as x:
+                    # this fails on some older versions of OpenSSL (0.9.7l, for instance)
+                    if support.verbose:
+                        sys.stdout.write(
+                            " SSL2 client to SSL23 server test unexpectedly failed:\n %s\n"
+                            % str(x))
             try_protocol_combo(ssl.PROTOCOL_SSLv23, ssl.PROTOCOL_SSLv3, True)
             try_protocol_combo(ssl.PROTOCOL_SSLv23, ssl.PROTOCOL_SSLv23, True)
             try_protocol_combo(ssl.PROTOCOL_SSLv23, ssl.PROTOCOL_TLSv1, True)
@@ -1262,7 +1270,8 @@
             try_protocol_combo(ssl.PROTOCOL_SSLv3, ssl.PROTOCOL_SSLv3, True)
             try_protocol_combo(ssl.PROTOCOL_SSLv3, ssl.PROTOCOL_SSLv3, True, ssl.CERT_OPTIONAL)
             try_protocol_combo(ssl.PROTOCOL_SSLv3, ssl.PROTOCOL_SSLv3, True, ssl.CERT_REQUIRED)
-            try_protocol_combo(ssl.PROTOCOL_SSLv3, ssl.PROTOCOL_SSLv2, False)
+            if hasattr(ssl, 'PROTOCOL_SSLv2'):
+                try_protocol_combo(ssl.PROTOCOL_SSLv3, ssl.PROTOCOL_SSLv2, False)
             try_protocol_combo(ssl.PROTOCOL_SSLv3, ssl.PROTOCOL_SSLv23, False)
             try_protocol_combo(ssl.PROTOCOL_SSLv3, ssl.PROTOCOL_TLSv1, False)
             if no_sslv2_implies_sslv3_hello():
@@ -1278,7 +1287,8 @@
             try_protocol_combo(ssl.PROTOCOL_TLSv1, ssl.PROTOCOL_TLSv1, True)
             try_protocol_combo(ssl.PROTOCOL_TLSv1, ssl.PROTOCOL_TLSv1, True, ssl.CERT_OPTIONAL)
             try_protocol_combo(ssl.PROTOCOL_TLSv1, ssl.PROTOCOL_TLSv1, True, ssl.CERT_REQUIRED)
-            try_protocol_combo(ssl.PROTOCOL_TLSv1, ssl.PROTOCOL_SSLv2, False)
+            if hasattr(ssl, 'PROTOCOL_SSLv2'):
+                try_protocol_combo(ssl.PROTOCOL_TLSv1, ssl.PROTOCOL_SSLv2, False)
             try_protocol_combo(ssl.PROTOCOL_TLSv1, ssl.PROTOCOL_SSLv3, False)
             try_protocol_combo(ssl.PROTOCOL_TLSv1, ssl.PROTOCOL_SSLv23, False)
 
diff --git a/Misc/NEWS b/Misc/NEWS
index 4a4767e..4309858 100644
--- a/Misc/NEWS
+++ b/Misc/NEWS
@@ -618,6 +618,8 @@
 Library
 -------
 
+- Issue #12012: ssl.PROTOCOL_SSLv2 becomes optional.
+
 - Issue #10916: mmap should not segfault when a file is mapped using 0 as length
   and a non-zero offset, and an attempt to read past the end of file is made
   (IndexError is raised instead).  Patch by Ross Lagerwall.
diff --git a/Modules/_ssl.c b/Modules/_ssl.c
index e494264..a813d5f 100644
--- a/Modules/_ssl.c
+++ b/Modules/_ssl.c
@@ -63,8 +63,10 @@
 };
 
 enum py_ssl_version {
+#ifndef OPENSSL_NO_SSL2
     PY_SSL_VERSION_SSL2,
-    PY_SSL_VERSION_SSL3,
+#endif
+    PY_SSL_VERSION_SSL3=1,
     PY_SSL_VERSION_SSL23,
     PY_SSL_VERSION_TLS1
 };
@@ -1450,8 +1452,10 @@
         ctx = SSL_CTX_new(TLSv1_method());
     else if (proto_version == PY_SSL_VERSION_SSL3)
         ctx = SSL_CTX_new(SSLv3_method());
+#ifndef OPENSSL_NO_SSL2
     else if (proto_version == PY_SSL_VERSION_SSL2)
         ctx = SSL_CTX_new(SSLv2_method());
+#endif
     else if (proto_version == PY_SSL_VERSION_SSL23)
         ctx = SSL_CTX_new(SSLv23_method());
     else
@@ -2110,8 +2114,10 @@
                             PY_SSL_CERT_REQUIRED);
 
     /* protocol versions */
+#ifndef OPENSSL_NO_SSL2
     PyModule_AddIntConstant(m, "PROTOCOL_SSLv2",
                             PY_SSL_VERSION_SSL2);
+#endif
     PyModule_AddIntConstant(m, "PROTOCOL_SSLv3",
                             PY_SSL_VERSION_SSL3);
     PyModule_AddIntConstant(m, "PROTOCOL_SSLv23",