diff --git a/tempest/api/compute/limits/test_absolute_limits_negative.py b/tempest/api/compute/limits/test_absolute_limits_negative.py
index f88699b..b2e2981 100644
--- a/tempest/api/compute/limits/test_absolute_limits_negative.py
+++ b/tempest/api/compute/limits/test_absolute_limits_negative.py
@@ -39,7 +39,9 @@
         for xx in range(max_meta_data):
             meta_data[str(xx)] = str(xx)
 
-        self.assertRaises(exceptions.OverLimit,
+        # A 403 Forbidden or 413 Overlimit (old behaviour) exception
+        # will be raised when out of quota
+        self.assertRaises((exceptions.Unauthorized, exceptions.OverLimit),
                           self.server_client.create_server,
                           name='test', meta=meta_data,
                           flavor_ref=self.flavor_ref,
diff --git a/tempest/api/compute/servers/test_server_personality.py b/tempest/api/compute/servers/test_server_personality.py
index b7e4e38..6cc463d 100644
--- a/tempest/api/compute/servers/test_server_personality.py
+++ b/tempest/api/compute/servers/test_server_personality.py
@@ -40,8 +40,10 @@
             path = 'etc/test' + str(i) + '.txt'
             personality.append({'path': path,
                                 'contents': base64.b64encode(file_contents)})
-        self.assertRaises(exceptions.OverLimit, self.create_test_server,
-                          personality=personality)
+        # A 403 Forbidden or 413 Overlimit (old behaviour) exception
+        # will be raised when out of quota
+        self.assertRaises((exceptions.Unauthorized, exceptions.OverLimit),
+                          self.create_test_server, personality=personality)
 
     @test.attr(type='gate')
     def test_can_create_server_with_max_number_personality_files(self):