diff --git a/jenkins/jobs/projects.yaml b/jenkins/jobs/projects.yaml
index 34b7c5f133..a061f6229d 100755
--- a/jenkins/jobs/projects.yaml
+++ b/jenkins/jobs/projects.yaml
@@ -902,6 +902,7 @@
 
     jobs:
       - python-jobs
+      - python-constraints-jobs
       - python-juno-bitrot-jobs
       - python-kilo-bitrot-jobs
       - openstack-publish-jobs
diff --git a/zuul/layout.yaml b/zuul/layout.yaml
index de30449c22..939ae8d68a 100755
--- a/zuul/layout.yaml
+++ b/zuul/layout.yaml
@@ -1731,6 +1731,12 @@ jobs:
   - name: ^gate-.*-py(?:thon\d\d|py)-constraints$
     branch: ^(?!stable/(?:juno|kilo)).*$
 
+  - name: gate-neutron-python27-constraints
+    voting: false
+
+  - name: gate-neutron-python34-constraints
+    voting: false
+
   # End Constraints Jobs
 
 # The project list is grouped by type of project, and within each
@@ -2659,7 +2665,9 @@ projects:
       - name: merge-check
       - name: python26-jobs
       - name: python-jobs
+      - name: python-constraints-jobs
       - name: python3-jobs
+      - name: python3-constraints-jobs
       - name: openstack-server-publish-jobs
       - name: openstack-server-release-jobs
       - name: periodic-juno