diff --git a/requirements.txt b/requirements.txt
index 7915c567c6..ee820db690 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -1,11 +1,11 @@
 asyncio-throttle~=1.0
-aiohttp~=3.8.1
+aiohttp>=3.8.1,<3.9.2
 aiodns~=3.0.0
 aiofiles==0.8.0
 aioredis~=2.0.1
 backoff~=1.11.0
 click<9.0
-cryptography~=36.0.1
+cryptography>=36.0.1,<41.0.8
 Django~=3.2.16  # LTS version, switch only if we have a compelling reason to
 django-currentuser~=0.5.3
 django-filter~=21.1