diff --git a/Lib/asyncio/test_utils.py b/Lib/asyncio/test_utils.py
index f797b2f..32d3b0b 100644
--- a/Lib/asyncio/test_utils.py
+++ b/Lib/asyncio/test_utils.py
@@ -35,12 +35,6 @@
 from test import support
 
 
-if sys.platform == 'win32':  # pragma: no cover
-    from .windows_utils import socketpair
-else:
-    from socket import socketpair  # pragma: no cover
-
-
 def dummy_ssl_context():
     if ssl is None:
         return None
diff --git a/Lib/asyncio/windows_utils.py b/Lib/asyncio/windows_utils.py
index d65ea17..3b41097 100644
--- a/Lib/asyncio/windows_utils.py
+++ b/Lib/asyncio/windows_utils.py
@@ -17,7 +17,7 @@
 import warnings
 
 
-__all__ = ['socketpair', 'pipe', 'Popen', 'PIPE', 'PipeHandle']
+__all__ = ['pipe', 'Popen', 'PIPE', 'PipeHandle']
 
 
 # Constants/globals
@@ -29,54 +29,6 @@
 _mmap_counter = itertools.count()
 
 
-if hasattr(socket, 'socketpair'):
-    # Since Python 3.5, socket.socketpair() is now also available on Windows
-    socketpair = socket.socketpair
-else:
-    # Replacement for socket.socketpair()
-    def socketpair(family=socket.AF_INET, type=socket.SOCK_STREAM, proto=0):
-        """A socket pair usable as a self-pipe, for Windows.
-
-        Origin: https://gist.github.com/4325783, by Geert Jansen.
-        Public domain.
-        """
-        if family == socket.AF_INET:
-            host = '127.0.0.1'
-        elif family == socket.AF_INET6:
-            host = '::1'
-        else:
-            raise ValueError("Only AF_INET and AF_INET6 socket address "
-                             "families are supported")
-        if type != socket.SOCK_STREAM:
-            raise ValueError("Only SOCK_STREAM socket type is supported")
-        if proto != 0:
-            raise ValueError("Only protocol zero is supported")
-
-        # We create a connected TCP socket. Note the trick with setblocking(0)
-        # that prevents us from having to create a thread.
-        lsock = socket.socket(family, type, proto)
-        try:
-            lsock.bind((host, 0))
-            lsock.listen(1)
-            # On IPv6, ignore flow_info and scope_id
-            addr, port = lsock.getsockname()[:2]
-            csock = socket.socket(family, type, proto)
-            try:
-                csock.setblocking(False)
-                try:
-                    csock.connect((addr, port))
-                except (BlockingIOError, InterruptedError):
-                    pass
-                csock.setblocking(True)
-                ssock, _ = lsock.accept()
-            except:
-                csock.close()
-                raise
-        finally:
-            lsock.close()
-        return (ssock, csock)
-
-
 # Replacement for os.pipe() using handles instead of fds