diff --git a/tests/swagger/test_swagger.py b/tests/swagger/test_swagger.py
index cf6147726..0183da190 100644
--- a/tests/swagger/test_swagger.py
+++ b/tests/swagger/test_swagger.py
@@ -1456,3 +1456,36 @@ def test_should_include_none_if_default_is_overwritte(self):
 
         self.editor.add_auth_to_method("/cognito", "get", auth, self.api)
         self.assertEqual([{"NONE": []}], self.editor.swagger["paths"]["/cognito"]["get"]["security"])
+
+class TestSwaggerEditor_set_path_default_authorizer(TestCase):
+    def setUp(self):
+        self.api = api = {
+            "Auth": {
+                "Authorizers": {"MyOtherCognitoAuth": {}, "MyCognitoAuth": {}},
+                "DefaultAuthorizer": "MyCognitoAuth",
+            }
+        }
+        self.editor = SwaggerEditor(
+            {
+                "swagger": "2.0",
+                "paths": {
+                    "/cognito": {
+                        "nonMethod": {
+                            "x-amazon-apigateway-integration": {
+                                "httpMethod": "POST",
+                                "type": "aws_proxy",
+                                "uri": {
+                                    "Fn::Sub": "arn:aws:apigateway:${AWS::Region}:lambda:path/2015-03-31/functions/${MyFn.Arn}/invocations"
+                                },
+                            },
+                            "security": [],
+                            "responses": {},
+                        }
+                    }
+                },
+            }
+        )
+
+    def test_should_fail_when_path_methods_are_invalid(self):
+        with self.assertRaises(InvalidDocumentException):
+            self.editor.set_path_default_authorizer("/cognito", "MyCognitoAuth", {"MyOtherCognitoAuth": {}, "MyCognitoAuth": {}})
diff --git a/tests/translator/test_translator.py b/tests/translator/test_translator.py
index 05948913f..27667adeb 100644
--- a/tests/translator/test_translator.py
+++ b/tests/translator/test_translator.py
@@ -413,7 +413,6 @@ def test_transform_success(self, testcase, partition_with_region):
             ],  # Run all the above tests against each of the list of partitions to test against
         )
     )
-    @pytest.mark.slow
     @patch(
         "samtranslator.plugins.application.serverless_app_plugin.ServerlessAppPlugin._sar_service_call",
         mock_sar_service_call,