diff --git a/Lib/test/test_ntpath.py b/Lib/test/test_ntpath.py
index 7b5f7bb..0fbe6a1 100644
--- a/Lib/test/test_ntpath.py
+++ b/Lib/test/test_ntpath.py
@@ -281,13 +281,14 @@
             tester('ntpath.abspath("C:\\")', "C:\\")
 
     def test_relpath(self):
-        currentdir = os.path.split(os.getcwd())[-1]
         tester('ntpath.relpath("a")', 'a')
         tester('ntpath.relpath(os.path.abspath("a"))', 'a')
         tester('ntpath.relpath("a/b")', 'a\\b')
         tester('ntpath.relpath("../a/b")', '..\\a\\b')
-        tester('ntpath.relpath("a", "../b")', '..\\'+currentdir+'\\a')
-        tester('ntpath.relpath("a/b", "../c")', '..\\'+currentdir+'\\a\\b')
+        with test_support.temp_cwd(test_support.TESTFN) as cwd_dir:
+            currentdir = os.path.basename(cwd_dir)
+            tester('ntpath.relpath("a", "../b")', '..\\'+currentdir+'\\a')
+            tester('ntpath.relpath("a/b", "../c")', '..\\'+currentdir+'\\a\\b')
         tester('ntpath.relpath("a", "b/c")', '..\\..\\a')
         tester('ntpath.relpath("//conky/mountpoint/a", "//conky/mountpoint/b/c")', '..\\..\\a')
         tester('ntpath.relpath("a", "a")', '.')
diff --git a/Lib/test/test_urllib2.py b/Lib/test/test_urllib2.py
index 5b2c708..32ffd0a 100644
--- a/Lib/test/test_urllib2.py
+++ b/Lib/test/test_urllib2.py
@@ -25,7 +25,7 @@
         self.assertRaises(ValueError, urllib2.urlopen, 'bogus url')
 
         # XXX Name hacking to get this to work on Windows.
-        fname = os.path.abspath(urllib2.__file__).replace('\\', '/')
+        fname = os.path.abspath(urllib2.__file__).replace(os.sep, '/')
 
         # And more hacking to get it to work on MacOS. This assumes
         # urllib.pathname2url works, unfortunately...