diff --git a/Lib/test/test_subprocess.py b/Lib/test/test_subprocess.py
index 0efcdbf..06de108 100644
--- a/Lib/test/test_subprocess.py
+++ b/Lib/test/test_subprocess.py
@@ -32,16 +32,6 @@
     SETBINARY = ''
 
 
-try:
-    mkstemp = tempfile.mkstemp
-except AttributeError:
-    # tempfile.mkstemp is not available
-    def mkstemp():
-        """Replacement for mkstemp, calling mktemp."""
-        fname = tempfile.mktemp()
-        return os.open(fname, os.O_RDWR|os.O_CREAT), fname
-
-
 class BaseTestCase(unittest.TestCase):
     def setUp(self):
         # Try to minimize the number of children we have so this test
@@ -666,9 +656,9 @@
     def test_handles_closed_on_exception(self):
         # If CreateProcess exits with an error, ensure the
         # duplicate output handles are released
-        ifhandle, ifname = mkstemp()
-        ofhandle, ofname = mkstemp()
-        efhandle, efname = mkstemp()
+        ifhandle, ifname = tempfile.mkstemp()
+        ofhandle, ofname = tempfile.mkstemp()
+        efhandle, efname = tempfile.mkstemp()
         try:
             subprocess.Popen (["*"], stdin=ifhandle, stdout=ofhandle,
               stderr=efhandle)
@@ -858,7 +848,7 @@
 
     def test_args_string(self):
         # args is a string
-        f, fname = mkstemp()
+        f, fname = tempfile.mkstemp()
         os.write(f, "#!/bin/sh\n")
         os.write(f, "exec '%s' -c 'import sys; sys.exit(47)'\n" %
                     sys.executable)
@@ -902,7 +892,7 @@
 
     def test_call_string(self):
         # call() function with string argument on UNIX
-        f, fname = mkstemp()
+        f, fname = tempfile.mkstemp()
         os.write(f, "#!/bin/sh\n")
         os.write(f, "exec '%s' -c 'import sys; sys.exit(47)'\n" %
                     sys.executable)
@@ -1058,7 +1048,7 @@
 
     def check_swap_fds(self, stdin_no, stdout_no, stderr_no):
         # open up some temporary files
-        temps = [mkstemp() for i in range(3)]
+        temps = [tempfile.mkstemp() for i in range(3)]
         temp_fds = [fd for fd, fname in temps]
         try:
             # unlink the files -- we won't need to reopen them
@@ -1379,7 +1369,7 @@
 
     def setUp(self):
         super(CommandsWithSpaces, self).setUp()
-        f, fname = mkstemp(".py", "te st")
+        f, fname = tempfile.mkstemp(".py", "te st")
         self.fname = fname.lower ()
         os.write(f, b"import sys;"
                     b"sys.stdout.write('%d %s' % (len(sys.argv), [a.lower () for a in sys.argv]))"