diff --git a/Lib/test/test_asyncio/test_events.py b/Lib/test/test_asyncio/test_events.py
index a3093d4dc8a748..2bd87a5bdb0413 100644
--- a/Lib/test/test_asyncio/test_events.py
+++ b/Lib/test/test_asyncio/test_events.py
@@ -1202,12 +1202,13 @@ def test_create_server_ssl_verify_failed(self):
                                             '(?i)certificate.verify.failed'):
                     self.loop.run_until_complete(f_c)
 
-            # execute the loop to log the connection error
-            test_utils.run_briefly(self.loop)
+            # close connection: wait until the server-side transport of the
+            # failed handshake is closed as well, otherwise its socket may
+            # still be open when the loop is closed (gh-159123).
+            server.close()
+            self.loop.run_until_complete(server.wait_closed())
 
-        # close connection
         self.assertIsNone(proto.transport)
-        server.close()
 
     @socket_helper.skip_unless_bind_unix_socket
     @unittest.skipIf(ssl is None, 'No ssl module')
@@ -1232,12 +1233,13 @@ def test_create_unix_server_ssl_verify_failed(self):
                                             '(?i)certificate.verify.failed'):
                     self.loop.run_until_complete(f_c)
 
-            # execute the loop to log the connection error
-            test_utils.run_briefly(self.loop)
+            # close connection: wait until the server-side transport of the
+            # failed handshake is closed as well, otherwise its socket may
+            # still be open when the loop is closed (gh-159123).
+            server.close()
+            self.loop.run_until_complete(server.wait_closed())
 
-        # close connection
         self.assertIsNone(proto.transport)
-        server.close()
 
     @unittest.skipIf(ssl is None, 'No ssl module')
     def test_create_server_ssl_match_failed(self):
@@ -1268,10 +1270,14 @@ def test_create_server_ssl_match_failed(self):
                 with self.assertRaisesRegex(ssl.CertificateError, regex):
                     self.loop.run_until_complete(f_c)
 
-        # close connection
+            # close connection: wait until the server-side transport of the
+            # failed handshake is closed as well, otherwise its socket may
+            # still be open when the loop is closed (gh-159123).
+            server.close()
+            self.loop.run_until_complete(server.wait_closed())
+
         # transport is None because TLS ALERT aborted the handshake
         self.assertIsNone(proto.transport)
-        server.close()
 
     @socket_helper.skip_unless_bind_unix_socket
     @unittest.skipIf(ssl is None, 'No ssl module')