diff --git a/Lib/test/test_multiprocessing.py b/Lib/test/test_multiprocessing.py
index eeb768f..0fe6497 100644
--- a/Lib/test/test_multiprocessing.py
+++ b/Lib/test/test_multiprocessing.py
@@ -1669,6 +1669,23 @@
             self.assertEqual(conn.recv(), 'hello')
             p.join()
             l.close()
+
+    def test_issue14725(self):
+        l = self.connection.Listener()
+        p = self.Process(target=self._test, args=(l.address,))
+        p.daemon = True
+        p.start()
+        time.sleep(1)
+        # On Windows the client process should by now have connected,
+        # written data and closed the pipe handle by now.  This causes
+        # ConnectNamdedPipe() to fail with ERROR_NO_DATA.  See Issue
+        # 14725.
+        conn = l.accept()
+        self.assertEqual(conn.recv(), 'hello')
+        conn.close()
+        p.join()
+        l.close()
+
 #
 # Test of sending connection and socket objects between processes
 #