diff --git a/tests/test_core/test_request_mocking.py b/tests/test_core/test_request_mocking.py
index a68f95f22..eed422264 100644
--- a/tests/test_core/test_request_mocking.py
+++ b/tests/test_core/test_request_mocking.py
@@ -12,7 +12,7 @@ def test_passthrough_requests():
     conn = boto3.client("sqs", region_name="us-west-1")
     conn.create_queue(QueueName="queue1")
 
-    res = requests.get("https://httpbin.org/ip")
+    res = requests.get("https://example.com/")
     assert res.status_code == 200
 
 
diff --git a/tests/test_s3/test_s3.py b/tests/test_s3/test_s3.py
index 58b90706d..c577b882c 100644
--- a/tests/test_s3/test_s3.py
+++ b/tests/test_s3/test_s3.py
@@ -479,14 +479,13 @@ def test_key_save_to_missing_bucket_boto3():
 
 @mock_s3
 def test_missing_key_request_boto3():
+    if settings.TEST_SERVER_MODE:
+        raise SkipTest("Only test status code in non-ServerMode")
     s3 = boto3.client("s3", region_name=DEFAULT_REGION_NAME)
     s3.create_bucket(Bucket="foobar")
 
     response = requests.get("http://foobar.s3.amazonaws.com/the-key")
-    if settings.TEST_SERVER_MODE:
-        response.status_code.should.equal(403)
-    else:
-        response.status_code.should.equal(404)
+    response.status_code.should.equal(404)
 
 
 @mock_s3