diff --git a/Lib/test/test_multiprocessing.py b/Lib/test/test_multiprocessing.py
index 6efeb69..b6c6a84 100644
--- a/Lib/test/test_multiprocessing.py
+++ b/Lib/test/test_multiprocessing.py
@@ -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()
 
diff --git a/Misc/NEWS b/Misc/NEWS
index 08369a2..53905e4 100644
--- a/Misc/NEWS
+++ b/Misc/NEWS
@@ -20,6 +20,7 @@
 - Issue #7466: segmentation fault when the garbage collector is called
   in the middle of populating a tuple.  Patch by Florent Xicluna.
 
+
 Library
 -------
 
@@ -42,6 +43,14 @@
   distutils.dist.DistributionMetadata.
 
 
+Tests
+-----
+
+- Issue #7498: test_multiprocessing now uses test_support.find_unused_port
+  instead of a hardcoded port number in test_rapid_restart.
+
+
+
 What's New in Python 2.7 alpha 1
 ================================