diff --git a/requirements/optional.txt b/requirements/optional.txt
index 48c9a630d..3d0dba3c0 100644
--- a/requirements/optional.txt
+++ b/requirements/optional.txt
@@ -3,7 +3,9 @@
 aiodns>1.0
 # We recommend using 3.7.1+ for RTMClient
 # https://github.com/slackapi/python-slack-sdk/issues/912
-aiohttp>=3.7.3,<4
+aiohttp>=3.7.3,<3.9; python_version == "3.7"
+aiohttp>=3.7.3,<3.11; python_version == "3.8"
+aiohttp>=3.13.5,<4; python_version >= "3.9"
 # used only under slack_sdk/*_store
 boto3<=2
 # InstallationStore/OAuthStateStore
diff --git a/requirements/testing.txt b/requirements/testing.txt
index 76aa747f7..f4c5eaa1b 100644
--- a/requirements/testing.txt
+++ b/requirements/testing.txt
@@ -1,5 +1,7 @@
 # pip install -r requirements/testing.txt
-aiohttp<4  # used for a WebSocket server mock
+aiohttp<3.9; python_version == "3.7"  # used for a WebSocket server mock
+aiohttp<3.11; python_version == "3.8"  # used for a WebSocket server mock
+aiohttp<4; python_version >= "3.9"  # used for a WebSocket server mock
 pytest>=7.0.1,<9
 pytest-asyncio<2  # for async
 pytest-cov>=2,<8