diff --git a/src/tox.ini b/src/tox.ini
index 8ffff0f..2ddcccd 100644
--- a/src/tox.ini
+++ b/src/tox.ini
@@ -25,7 +25,9 @@ passenv =
     CS_*
     OS_*
     TEST_*
-deps = -r{toxinidir}/test-requirements.txt
+deps =
+    -c {env:TEST_CONSTRAINTS_FILE:https://raw.githubusercontent.com/openstack-charmers/zaza-openstack-tests/master/constraints/constraints-2024.1.txt}
+    -r{toxinidir}/test-requirements.txt
 
 [testenv:pep8]
 basepython = python3
diff --git a/tox.ini b/tox.ini
index c11375e..3e44bd9 100644
--- a/tox.ini
+++ b/tox.ini
@@ -61,12 +61,16 @@ commands =
 
 [testenv:py3]
 basepython = python3
-deps = -r{toxinidir}/test-requirements.txt
+deps =
+    -c {env:TEST_CONSTRAINTS_FILE:https://raw.githubusercontent.com/openstack-charmers/zaza-openstack-tests/master/constraints/constraints-2024.1.txt}
+    -r{toxinidir}/test-requirements.txt
 commands = stestr run --slowest {posargs}
 
 [testenv:py310]
 basepython = python3.10
-deps = -r{toxinidir}/test-requirements.txt
+deps =
+    -c {env:TEST_CONSTRAINTS_FILE:https://raw.githubusercontent.com/openstack-charmers/zaza-openstack-tests/master/constraints/constraints-2024.1.txt}
+    -r{toxinidir}/test-requirements.txt
 commands = stestr run --slowest {posargs}
 
 [testenv:pep8]
@@ -79,7 +83,9 @@ commands = flake8 {posargs} src unit_tests
 # Technique based heavily upon
 # https://github.com/openstack/nova/blob/master/tox.ini
 basepython = python3
-deps = -r{toxinidir}/requirements.txt
+deps =
+    -c {env:TEST_CONSTRAINTS_FILE:https://raw.githubusercontent.com/openstack-charmers/zaza-openstack-tests/master/constraints/constraints-2024.1.txt}
+    -r{toxinidir}/requirements.txt
        -r{toxinidir}/test-requirements.txt
 setenv =
     {[testenv]setenv}