diff --git a/tox.ini b/tox.ini
index be7b33df..f5daae78 100644
--- a/tox.ini
+++ b/tox.ini
@@ -11,7 +11,7 @@ setenv =
 # TODO(stephenfin): Remove once we bump our upper-constraint to SQLAlchemy 2.0
   SQLALCHEMY_WARN_20=1
 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 =
@@ -39,7 +39,7 @@ commands =
 [testenv:linters]
 skip_install = True
 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
   {[testenv:bashate]deps}
 commands =
@@ -70,7 +70,7 @@ commands = yamllint -s .
 [testenv:bashate]
 skip_install = True
 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}
   bashate
 commands =
   bashate devstack/plugin.sh -v --ignore E006 --error E005,E042,E043
@@ -93,7 +93,7 @@ commands =
 # dependencies are installed during 'develop-inst' tox phase without
 # constraints which could cause failures in stable branches.
 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}/doc/requirements.txt
 commands =
@@ -110,7 +110,7 @@ commands =
 [testenv:releasenotes]
 skip_install = True
 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
 allowlist_externals =
   rm