diff --git a/Lib/test/test_urllib2net.py b/Lib/test/test_urllib2net.py
index 2662756f7c2..51b7fc50abd 100644
--- a/Lib/test/test_urllib2net.py
+++ b/Lib/test/test_urllib2net.py
@@ -7,11 +7,14 @@ import socket
 import urllib.error
 import urllib.request
 import sys
+
 try:
     import ssl
 except ImportError:
     ssl = None
 
+requires_ssl = unittest.skipIf(ssl is None, "SSL not supported")
+
 support.requires("network")
 
 TIMEOUT = 60  # seconds
@@ -156,6 +159,7 @@ class OtherNetworkTests(unittest.TestCase):
 
 ##             self._test_urls(urls, self._extra_handlers()+[bauth, dauth])
 
+    @requires_ssl
     def test_urlwithfrag(self):
         urlwith_frag = "https://docs.python.org/2/glossary.html#glossary"
         with support.transient_internet(urlwith_frag):
@@ -164,6 +168,7 @@ class OtherNetworkTests(unittest.TestCase):
             self.assertEqual(res.geturl(),
                     "https://docs.python.org/2/glossary.html#glossary")
 
+    @requires_ssl
     def test_redirect_url_withfrag(self):
         redirect_url_with_frag = "http://bit.ly/1iSHToT"
         with support.transient_internet(redirect_url_with_frag):
diff --git a/Misc/NEWS b/Misc/NEWS
index 4c8c559d6cc..ef277be25e8 100644
--- a/Misc/NEWS
+++ b/Misc/NEWS
@@ -1050,6 +1050,12 @@ IDLE
 - Issue #17654: Ensure IDLE menus are customized properly on OS X for
   non-framework builds and for all variants of Tk.
 
+Tests
+-----
+
+- Issue #21456: Skip two tests in test_urllib2net.py if _ssl module not
+  present. Patch by Remi Pointel.
+
 Build
 -----