diff --git a/Lib/test/test_logging.py b/Lib/test/test_logging.py
index d763459..511b2e0 100644
--- a/Lib/test/test_logging.py
+++ b/Lib/test/test_logging.py
@@ -38,8 +38,7 @@
 import struct
 import sys
 import tempfile
-from test.support import captured_stdout, run_with_locale, run_unittest,\
-     find_unused_port
+from test.support import captured_stdout, run_with_locale, run_unittest
 import textwrap
 import unittest
 import warnings
@@ -1666,8 +1665,8 @@
     @unittest.skipUnless(threading, 'listen() needs threading to work')
     def setup_via_listener(self, text):
         text = text.encode("utf-8")
-        port = find_unused_port()
-        t = logging.config.listen(port)
+        # Ask for a randomly assigned port (by using port 0)
+        t = logging.config.listen(0)
         t.start()
         t.ready.wait()
         # Now get the port allocated