diff --git a/Lib/test/test_unicode_file.py b/Lib/test/test_unicode_file.py
index 8b5757cc692..6cd965e83c8 100644
--- a/Lib/test/test_unicode_file.py
+++ b/Lib/test/test_unicode_file.py
@@ -1,7 +1,7 @@
 # Test some Unicode file name semantics
 # We dont test many operations on files other than
 # that their names can be used with Unicode characters.
-import os
+import os, glob
 
 from test_support import verify, TestSkipped, TESTFN_UNICODE
 try:
@@ -57,6 +57,14 @@
 path, base = os.path.split(os.path.abspath(TESTFN_ENCODED))
 if base not in os.listdir(path):
     print "Filename did not appear in os.listdir()"
+path, base = os.path.split(os.path.abspath(TESTFN_UNICODE))
+if base not in os.listdir(path):
+    print "Unicode filename did not appear in os.listdir()"
+
+if os.path.abspath(TESTFN_ENCODED) != os.path.abspath(glob.glob(TESTFN_ENCODED)[0]):
+    print "Filename did not appear in glob.glob()"
+if os.path.abspath(TESTFN_UNICODE) != os.path.abspath(glob.glob(TESTFN_UNICODE)[0]):
+    print "Unicode filename did not appear in glob.glob()"
 
 f.close()
 os.unlink(TESTFN_UNICODE)