diff --git a/integration/combination/test_api_with_authorizer_apikey.py b/integration/combination/test_api_with_authorizer_apikey.py
index f7d58237b..5f0190e2b 100644
--- a/integration/combination/test_api_with_authorizer_apikey.py
+++ b/integration/combination/test_api_with_authorizer_apikey.py
@@ -6,10 +6,10 @@
 
 
 from integration.helpers.resource import current_region_does_not_support
-from integration.config.service_names import REST_API
+from integration.config.service_names import REST_API, API_KEY
 
 
-@skipIf(current_region_does_not_support([REST_API]), "RestApi is not supported in this testing region")
+@skipIf(current_region_does_not_support([REST_API, API_KEY]), "RestApi/ApiKey is not supported in this testing region")
 class TestApiWithAuthorizerApiKey(BaseTest):
     def test_authorizer_apikey(self):
         self.create_and_verify_stack("combination/api_with_authorizer_apikey")
diff --git a/integration/combination/test_api_with_authorizers.py b/integration/combination/test_api_with_authorizers.py
index 3d0ce02dc..a34ef6258 100644
--- a/integration/combination/test_api_with_authorizers.py
+++ b/integration/combination/test_api_with_authorizers.py
@@ -4,10 +4,12 @@
 from integration.helpers.deployer.utils.retry import retry
 from integration.helpers.exception import StatusCodeError
 from integration.helpers.resource import current_region_does_not_support
-from integration.config.service_names import COGNITO
+from integration.config.service_names import API_KEY, COGNITO, REST_API
 
 
-@skipIf(current_region_does_not_support([COGNITO]), "Cognito is not supported in this testing region")
+@skipIf(
+    current_region_does_not_support([COGNITO, API_KEY, REST_API]), "Cognito is not supported in this testing region"
+)
 class TestApiWithAuthorizers(BaseTest):
     def test_authorizers_min(self):
         self.create_and_verify_stack("combination/api_with_authorizers_min")
diff --git a/integration/combination/test_api_with_gateway_responses.py b/integration/combination/test_api_with_gateway_responses.py
index 39979e016..2554cbb34 100644
--- a/integration/combination/test_api_with_gateway_responses.py
+++ b/integration/combination/test_api_with_gateway_responses.py
@@ -5,13 +5,14 @@
 
 from integration.helpers.base_test import BaseTest
 from integration.helpers.resource import current_region_does_not_support
-from integration.config.service_names import GATEWAY_RESPONSES
+from integration.config.service_names import GATEWAY_RESPONSES, REST_API
 
 LOG = logging.getLogger(__name__)
 
 
 @skipIf(
-    current_region_does_not_support([GATEWAY_RESPONSES]), "GatewayResponses is not supported in this testing region"
+    current_region_does_not_support([GATEWAY_RESPONSES, REST_API]),
+    "GatewayResponses is not supported in this testing region",
 )
 class TestApiWithGatewayResponses(BaseTest):
     def test_gateway_responses(self):
diff --git a/integration/combination/test_api_with_usage_plan.py b/integration/combination/test_api_with_usage_plan.py
index b252338a9..50b699482 100644
--- a/integration/combination/test_api_with_usage_plan.py
+++ b/integration/combination/test_api_with_usage_plan.py
@@ -2,10 +2,10 @@
 
 from integration.helpers.base_test import BaseTest
 from integration.helpers.resource import current_region_does_not_support
-from integration.config.service_names import USAGE_PLANS
+from integration.config.service_names import USAGE_PLANS, REST_API
 
 
-@skipIf(current_region_does_not_support([USAGE_PLANS]), "UsagePlans is not supported in this testing region")
+@skipIf(current_region_does_not_support([USAGE_PLANS, REST_API]), "UsagePlans is not supported in this testing region")
 class TestApiWithUsagePlan(BaseTest):
     def test_api_with_usage_plans(self):
         self.create_and_verify_stack("combination/api_with_usage_plan")
diff --git a/integration/config/service_names.py b/integration/config/service_names.py
index e3651aa47..f26da0930 100644
--- a/integration/config/service_names.py
+++ b/integration/config/service_names.py
@@ -33,3 +33,4 @@
 LAMBDA_ENV_VARS = "LambdaEnvVars"
 EVENT_INVOKE_CONFIG = "EventInvokeConfig"
 EPHEMERAL_STORAGE = "EphemeralStorage"
+API_KEY = "ApiKey"
diff --git a/integration/conftest.py b/integration/conftest.py
index fb6cca5ae..98afb1803 100644
--- a/integration/conftest.py
+++ b/integration/conftest.py
@@ -216,7 +216,9 @@ def _stack_exists(stack_name):
     cloudformation = boto3.resource("cloudformation")
     stack = cloudformation.Stack(stack_name)
     try:
-        stack.stack_status
+        status = stack.stack_status
+        if status == "REVIEW_IN_PROGRESS":
+            return False
     except ClientError as ex:
         if "does not exist" in str(ex):
             return False
diff --git a/integration/helpers/base_test.py b/integration/helpers/base_test.py
index 2ba79e1ad..b46263948 100644
--- a/integration/helpers/base_test.py
+++ b/integration/helpers/base_test.py
@@ -451,8 +451,8 @@ def verify_stack(self, end_state="CREATE_COMPLETE"):
             self.fail(error)
 
     @retry(
-        stop=stop_after_attempt(3),
-        wait=wait_exponential(multiplier=1, min=4, max=10) + wait_random(0, 1),
+        stop=stop_after_attempt(6),
+        wait=wait_exponential(multiplier=1, min=16, max=64) + wait_random(0, 1),
         retry=retry_if_exception_type(StatusCodeError),
         after=after_log(LOG, logging.WARNING),
         reraise=True,
@@ -480,8 +480,8 @@ def verify_get_request_response(self, url, expected_status_code, headers=None):
         return response
 
     @retry(
-        stop=stop_after_attempt(3),
-        wait=wait_exponential(multiplier=1, min=4, max=10) + wait_random(0, 1),
+        stop=stop_after_attempt(6),
+        wait=wait_exponential(multiplier=1, min=16, max=64) + wait_random(0, 1),
         retry=retry_if_exception_type(StatusCodeError),
         after=after_log(LOG, logging.WARNING),
         reraise=True,