diff --git a/zaqar/tests/unit/transport/websocket/v2/test_claims.py b/zaqar/tests/unit/transport/websocket/v2/test_claims.py
index 3505a762c..1f386e0bc 100644
--- a/zaqar/tests/unit/transport/websocket/v2/test_claims.py
+++ b/zaqar/tests/unit/transport/websocket/v2/test_claims.py
@@ -340,7 +340,11 @@ class ClaimsBaseTest(base.V1_1Base):
         message_id_3 = resp['body']['messages'][0]['id']
 
         estimated_age = timeutils.delta_seconds(creation, query)
-        self.assertTrue(estimated_age > resp['body']['age'])
+        # The claim's age should be 0 at this moment. But in some unexpected
+        # case, such as slow test, the age maybe larger than 0. Just skip
+        # asserting if so.
+        if resp['body']['age'] == 0:
+            self.assertGreater(estimated_age, resp['body']['age'])
 
         # Delete the claim
         action = consts.CLAIM_DELETE
diff --git a/zaqar/tests/unit/transport/wsgi/v2_0/test_subscriptions.py b/zaqar/tests/unit/transport/wsgi/v2_0/test_subscriptions.py
index 65eb690de..0a3315c6f 100644
--- a/zaqar/tests/unit/transport/wsgi/v2_0/test_subscriptions.py
+++ b/zaqar/tests/unit/transport/wsgi/v2_0/test_subscriptions.py
@@ -282,6 +282,10 @@ class TestSubscriptionsMongoDB(base.V2Base):
         self.assertEqual(falcon.HTTP_200, self.srmock.status)
         next_subscriptions_list = jsonutils.loads(resp[0])['subscriptions']
         self.assertEqual(5, len(next_subscriptions_list))
+        # The subscriptions's age should be 0 at this moment. But in some
+        # unexpected case, such as slow test, the age maybe larger than 0.
+        self.assertGreaterEqual(next_subscriptions_list[0].pop('age'),
+                                subscriptions_list[10].pop('age'))
         self.assertEqual(subscriptions_list[10], next_subscriptions_list[0])
 
     def test_get_works(self):