diff --git a/tox.ini b/tox.ini
index 3c5149c54..9d79176be 100644
--- a/tox.ini
+++ b/tox.ini
@@ -9,7 +9,7 @@ setenv =
     VIRTUAL_ENV={envdir}
     PYTHONWARNINGS=default::DeprecationWarning
 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}/requirements.txt
     -r{toxinidir}/test-requirements.txt
 commands = stestr run --slowest {posargs}
@@ -40,7 +40,7 @@ commands = python setup.py test --coverage --testr-args='{posargs}'
 
 [testenv:docs]
 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 = sphinx-build -W -b html doc/source doc/build/html
 
@@ -56,7 +56,7 @@ commands = oslo_debug_helper -t bifrost/tests {posargs}
 
 [testenv:releasenotes]
 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 =
     sphinx-build -a -E -d releasenotes/build/doctrees -b html releasenotes/source releasenotes/build/html