diff --git a/requirements/testing.txt b/requirements/testing.txt
index 0a4d7ae9f..82337fe14 100644
--- a/requirements/testing.txt
+++ b/requirements/testing.txt
@@ -14,4 +14,7 @@ click==8.0.4  # black is affected by https://github.com/pallets/click/issues/222
 psutil>=5,<6
 #  used only under slack_sdk/*_store
 boto3<=2
-moto>=3,<4  # For AWS tests
+# For AWS tests
+moto==4.0.13; python_version=="3.6"
+moto<5; python_version=="3.7"
+moto<6
diff --git a/tests/slack_sdk/oauth/installation_store/test_amazon_s3.py b/tests/slack_sdk/oauth/installation_store/test_amazon_s3.py
index ab4b25fb4..a51f37e9d 100644
--- a/tests/slack_sdk/oauth/installation_store/test_amazon_s3.py
+++ b/tests/slack_sdk/oauth/installation_store/test_amazon_s3.py
@@ -1,23 +1,27 @@
 import unittest
 
 import boto3
-from moto import mock_s3
+
+try:
+    from moto import mock_aws
+except ImportError:
+    from moto import mock_s3 as mock_aws
 from slack_sdk.oauth.installation_store import Installation
 from slack_sdk.oauth.installation_store.amazon_s3 import AmazonS3InstallationStore
 
 
 class TestAmazonS3(unittest.TestCase):
-    mock_s3 = mock_s3()
+    mock_aws = mock_aws()
     bucket_name = "test-bucket"
 
     def setUp(self):
-        self.mock_s3.start()
+        self.mock_aws.start()
         s3 = boto3.resource("s3")
         bucket = s3.Bucket(self.bucket_name)
         bucket.create(CreateBucketConfiguration={"LocationConstraint": "af-south-1"})
 
     def tearDown(self):
-        self.mock_s3.stop()
+        self.mock_aws.stop()
 
     def build_store(self) -> AmazonS3InstallationStore:
         return AmazonS3InstallationStore(
diff --git a/tests/slack_sdk/oauth/state_store/test_amazon_s3.py b/tests/slack_sdk/oauth/state_store/test_amazon_s3.py
index 8561eeb62..277b8b83a 100644
--- a/tests/slack_sdk/oauth/state_store/test_amazon_s3.py
+++ b/tests/slack_sdk/oauth/state_store/test_amazon_s3.py
@@ -1,22 +1,26 @@
 import unittest
 
 import boto3
-from moto import mock_s3
+
+try:
+    from moto import mock_aws
+except ImportError:
+    from moto import mock_s3 as mock_aws
 from slack_sdk.oauth.state_store.amazon_s3 import AmazonS3OAuthStateStore
 
 
 class TestAmazonS3(unittest.TestCase):
-    mock_s3 = mock_s3()
+    mock_aws = mock_aws()
     bucket_name = "test-bucket"
 
     def setUp(self):
-        self.mock_s3.start()
+        self.mock_aws.start()
         s3 = boto3.resource("s3")
         bucket = s3.Bucket(self.bucket_name)
         bucket.create(CreateBucketConfiguration={"LocationConstraint": "af-south-1"})
 
     def tearDown(self):
-        self.mock_s3.stop()
+        self.mock_aws.stop()
 
     def test_instance(self):
         store = AmazonS3OAuthStateStore(