Index: Lib/test/test_multiprocessing.py
===================================================================
--- Lib/test/test_multiprocessing.py	(revision 76797)
+++ Lib/test/test_multiprocessing.py	(working copy)
@@ -1212,8 +1212,9 @@
 
     def test_rapid_restart(self):
         authkey = os.urandom(32)
+        port = test_support.find_unused_port()
         manager = QueueManager(
-            address=('localhost', 9999), authkey=authkey, serializer=SERIALIZER)
+            address=('localhost', port), authkey=authkey, serializer=SERIALIZER)
         manager.start()
 
         p = self.Process(target=self._putter, args=(manager.address, authkey))
@@ -1223,7 +1224,7 @@
         del queue
         manager.shutdown()
         manager = QueueManager(
-            address=('localhost', 9999), authkey=authkey, serializer=SERIALIZER)
+            address=('localhost', port), authkey=authkey, serializer=SERIALIZER)
         manager.start()
         manager.shutdown()