diff --git a/Lib/test/test_asyncore.py b/Lib/test/test_asyncore.py
index ce0a84f..205efb9 100644
--- a/Lib/test/test_asyncore.py
+++ b/Lib/test/test_asyncore.py
@@ -296,7 +296,6 @@
             d.handle_read()
             d.handle_write()
             d.handle_connect()
-            d.handle_accept()
         finally:
             sys.stdout = stdout
 
@@ -304,8 +303,7 @@
         expected = ['warning: unhandled incoming priority event',
                     'warning: unhandled read event',
                     'warning: unhandled write event',
-                    'warning: unhandled connect event',
-                    'warning: unhandled accept event']
+                    'warning: unhandled connect event']
         self.assertEqual(lines, expected)
 
     def test_issue_8594(self):
@@ -451,6 +449,9 @@
     def handle_accept(self):
         raise Exception("handle_accept not supposed to be called")
 
+    def handle_accepted(self):
+        raise Exception("handle_accepted not supposed to be called")
+
     def handle_connect(self):
         raise Exception("handle_connect not supposed to be called")
 
@@ -481,8 +482,7 @@
     def address(self):
         return self.socket.getsockname()[:2]
 
-    def handle_accept(self):
-        sock, addr = self.accept()
+    def handle_accepted(self, sock, addr):
         self.handler(sock)
 
     def handle_error(self):
@@ -546,6 +546,29 @@
         client = BaseClient(server.address)
         self.loop_waiting_for_flag(server)
 
+    def test_handle_accepted(self):
+        # make sure handle_accepted() is called when a client connects
+
+        class TestListener(BaseTestHandler):
+
+            def __init__(self):
+                BaseTestHandler.__init__(self)
+                self.create_socket(socket.AF_INET, socket.SOCK_STREAM)
+                self.bind((HOST, 0))
+                self.listen(5)
+                self.address = self.socket.getsockname()[:2]
+
+            def handle_accept(self):
+                asyncore.dispatcher.handle_accept(self)
+
+            def handle_accepted(self, sock, addr):
+                self.flag = True
+
+        server = TestListener()
+        client = BaseClient(server.address)
+        self.loop_waiting_for_flag(server)
+
+
     def test_handle_read(self):
         # make sure handle_read is called on data received
 
diff --git a/Lib/test/test_ftplib.py b/Lib/test/test_ftplib.py
index 8164ede..c9bb06e 100644
--- a/Lib/test/test_ftplib.py
+++ b/Lib/test/test_ftplib.py
@@ -244,8 +244,7 @@
         self.active = False
         self.join()
 
-    def handle_accept(self):
-        conn, addr = self.accept()
+    def handle_accepted(self, conn, addr):
         self.handler_instance = self.handler(conn)
 
     def handle_connect(self):
diff --git a/Lib/test/test_poplib.py b/Lib/test/test_poplib.py
index 2adc849..81af569 100644
--- a/Lib/test/test_poplib.py
+++ b/Lib/test/test_poplib.py
@@ -144,8 +144,7 @@
         self.active = False
         self.join()
 
-    def handle_accept(self):
-        conn, addr = self.accept()
+    def handle_accepted(self, conn, addr):
         self.handler_instance = self.handler(conn)
 
     def handle_connect(self):
diff --git a/Lib/test/test_smtplib.py b/Lib/test/test_smtplib.py
index 831f2d7..230899b 100644
--- a/Lib/test/test_smtplib.py
+++ b/Lib/test/test_smtplib.py
@@ -379,8 +379,7 @@
         self._extra_features = []
         smtpd.SMTPServer.__init__(self, *args, **kw)
 
-    def handle_accept(self):
-        conn, addr = self.accept()
+    def handle_accepted(self, conn, addr):
         self._SMTPchannel = SimSMTPChannel(self._extra_features,
                                            self, conn, addr)
 
diff --git a/Lib/test/test_ssl.py b/Lib/test/test_ssl.py
index 6b79615..4f29a64 100644
--- a/Lib/test/test_ssl.py
+++ b/Lib/test/test_ssl.py
@@ -838,8 +838,7 @@
                 asyncore.dispatcher.__init__(self, sock)
                 self.listen(5)
 
-            def handle_accept(self):
-                sock_obj, addr = self.accept()
+            def handle_accepted(self, sock_obj, addr):
                 if support.verbose:
                     sys.stdout.write(" server:  new connection from %s:%s\n" %addr)
                 self.ConnectionHandler(sock_obj, self.certfile)