diff --git a/Lib/test/support/__init__.py b/Lib/test/support/__init__.py
--- a/Lib/test/support/__init__.py
+++ b/Lib/test/support/__init__.py
@@ -20,16 +20,17 @@ import socket
 import stat
 import struct
 import subprocess
 import sys
 import sysconfig
 import tempfile
 import time
 import unittest
+import urllib.error
 import warnings
 
 try:
     import _thread, threading
 except ImportError:
     _thread = None
     threading = None
 try:
@@ -1302,16 +1303,18 @@ def transient_internet(resource_name, *,
                            for (name, num) in default_errnos]
         gai_errnos = [getattr(socket, name, num)
                       for (name, num) in default_gai_errnos]
 
     def filter_error(err):
         n = getattr(err, 'errno', None)
         if (isinstance(err, socket.timeout) or
             (isinstance(err, socket.gaierror) and n in gai_errnos) or
+            (isinstance(err, urllib.error.URLError) and
+             "ConnectionRefusedError" in str(err.reason)) or
             n in captured_errnos):
             if not verbose:
                 sys.stderr.write(denied.args[0] + "\n")
             raise denied from err
 
     old_timeout = socket.getdefaulttimeout()
     try:
         if timeout is not None:
diff --git a/Lib/test/test_urllib2net.py b/Lib/test/test_urllib2net.py
--- a/Lib/test/test_urllib2net.py
+++ b/Lib/test/test_urllib2net.py
@@ -219,29 +219,24 @@ class OtherNetworkTests(unittest.TestCas
                 if isinstance(url, tuple):
                     url, req, expected_err = url
                 else:
                     req = expected_err = None
 
                 with support.transient_internet(url):
                     try:
                         f = urlopen(url, req, TIMEOUT)
+                    # urllib.error.URLError is a subclass of OSError
                     except OSError as err:
                         if expected_err:
                             msg = ("Didn't get expected error(s) %s for %s %s, got %s: %s" %
                                    (expected_err, url, req, type(err), err))
                             self.assertIsInstance(err, expected_err, msg)
                         else:
                             raise
-                    except urllib.error.URLError as err:
-                        if isinstance(err[0], socket.timeout):
-                            print("<timeout: %s>" % url, file=sys.stderr)
-                            continue
-                        else:
-                            raise
                     else:
                         try:
                             with support.time_out, \
                                  support.socket_peer_reset, \
                                  support.ioerror_peer_reset:
                                 buf = f.read()
                                 debug("read %d bytes" % len(buf))
                         except socket.timeout: