diff --git a/Tests/t_cext.py b/Tests/t_cext.py
index 7c1417b..3cbdbe7 100644
--- a/Tests/t_cext.py
+++ b/Tests/t_cext.py
@@ -64,10 +64,10 @@ def _open_conn(self, bind=True):
         return l
 
     def assertNotNone(self, expr, msg=None):
-        self.failIf(expr is None, msg or repr(expr))
+        self.assertFalse(expr is None, msg or repr(expr))
 
     def assertNone(self, expr, msg=None):
-        self.failIf(expr is not None, msg or repr(expr))
+        self.assertFalse(expr is not None, msg or repr(expr))
 
     # Test for the existence of a whole bunch of constants
     # that the C module is supposed to export
diff --git a/Tests/t_ldapurl.py b/Tests/t_ldapurl.py
index 407538f..a68b032 100644
--- a/Tests/t_ldapurl.py
+++ b/Tests/t_ldapurl.py
@@ -178,7 +178,7 @@ def test_ldapurl(self):
 class TestLDAPUrl(unittest.TestCase):
 
     def assertNone(self, expr, msg=None):
-        self.failIf(expr is not None, msg or ("%r" % expr))
+        self.assertFalse(expr is not None, msg or ("%r" % expr))
 
     def test_combo(self):
         u = MyLDAPUrl(