diff --git a/tox.ini b/tox.ini
index 0261a1e17..de7907c46 100644
--- a/tox.ini
+++ b/tox.ini
@@ -8,7 +8,7 @@ passenv =
   ZUUL_CACHE_DIR
   REQUIREMENTS_PIP_LOCATION
 deps =
-  -c{env:TOX_CONSTRAINTS_FILE:https://releases.openstack.org/constraints/upper/master}
+  -c{env:TOX_CONSTRAINTS_FILE:https://releases.openstack.org/constraints/upper/2024.1}
   -r{toxinidir}/test-requirements.txt
   -r{toxinidir}/requirements.txt
 commands =
@@ -37,7 +37,7 @@ commands = {posargs}
 [testenv:docs]
 allowlist_externals = rm
 deps =
-  -c{env:TOX_CONSTRAINTS_FILE:https://releases.openstack.org/constraints/upper/master}
+  -c{env:TOX_CONSTRAINTS_FILE:https://releases.openstack.org/constraints/upper/2024.1}
   -r{toxinidir}/doc/requirements.txt
 commands =
   rm -fr doc/build
@@ -97,7 +97,7 @@ commands =
   rm -rf releasenotes/build
   sphinx-build -a -E -W -d releasenotes/build/doctrees --keep-going -b html releasenotes/source releasenotes/build/html
 deps =
-  -c{env:TOX_CONSTRAINTS_FILE:https://releases.openstack.org/constraints/upper/master}
+  -c{env:TOX_CONSTRAINTS_FILE:https://releases.openstack.org/constraints/upper/2024.1}
   -r{toxinidir}/doc/requirements.txt
 
 [testenv:bindep]