diff --git a/test-requirements.txt b/test-requirements.txt
index fcb79b22..78b3c7d9 100644
--- a/test-requirements.txt
+++ b/test-requirements.txt
@@ -43,7 +43,7 @@ git+https://github.com/openstack-charmers/zaza-openstack-tests.git@stable/xena#e
 
 # Needed for charm-glance:
 git+https://opendev.org/openstack/tempest.git#egg=tempest;python_version>='3.8'
-tempest<31.0.0;python_version<'3.8'
+tempest<31.0.0;python_version<'3.8' and python_version>='3.6'
 tempest<24.0.0;python_version<'3.6'
 
 croniter            # needed for charm-rabbitmq-server unit tests