diff --git a/Lib/test/test_socket.py b/Lib/test/test_socket.py
index c2aa936aa9a..00bf948a658 100644
--- a/Lib/test/test_socket.py
+++ b/Lib/test/test_socket.py
@@ -186,6 +186,11 @@ class ThreadedUDPSocketTest(SocketUDPTest, ThreadableTest):
     def clientSetUp(self):
         self.cli = socket.socket(socket.AF_INET, socket.SOCK_DGRAM)
 
+    def clientTearDown(self):
+        self.cli.close()
+        self.cli = None
+        ThreadableTest.clientTearDown(self)
+
 class SocketConnectedTest(ThreadedTCPSocketTest):
 
     def __init__(self, methodName='runTest'):