diff --git a/.zuul.yaml b/.zuul.yaml
index 46f1a94aa49a..d65a5db62bb8 100644
--- a/.zuul.yaml
+++ b/.zuul.yaml
@@ -101,6 +101,21 @@
     parent: nova-dsvm-multinode-base
     run: playbooks/legacy/nova-live-migration/run.yaml
     post-run: playbooks/legacy/nova-live-migration/post.yaml
+    irrelevant-files:
+      - ^(placement-)?api-.*$
+      - ^(test-|)requirements.txt$
+      - ^.*\.rst$
+      - ^.git.*$
+      - ^doc/.*$
+      - ^nova/hacking/.*$
+      - ^nova/locale/.*$
+      - ^nova/tests/unit/.*$
+      - ^nova/tests/functional/.*$
+      - ^releasenotes/.*$
+      - ^setup.cfg$
+      - ^tests-py3.txt$
+      - ^tools/.*$
+      - ^tox.ini$
 
 - job:
     name: nova-lvm
diff --git a/nova/tests/live_migration/hooks/utils.sh b/nova/tests/live_migration/hooks/utils.sh
index 9f98ca2e254a..26c409ecece0 100755
--- a/nova/tests/live_migration/hooks/utils.sh
+++ b/nova/tests/live_migration/hooks/utils.sh
@@ -3,7 +3,13 @@
 function run_tempest {
     local message=$1
     local tempest_regex=$2
-    sudo -H -u tempest tox -eall -- $tempest_regex --concurrency=$TEMPEST_CONCURRENCY
+    # NOTE(gmann): Use branch constraint because Tempest is pinned to the branch release
+    # instead of using master. We need to export it via env var UPPER_CONSTRAINTS_FILE
+    # so that initial creation of tempest tox use stable branch constraint
+    # instead of master constraint which is hard coded in tempest/tox.ini
+    export UPPER_CONSTRAINTS_FILE=$BASE/new/requirements/upper-constraints.txt
+
+    sudo -H -u tempest UPPER_CONSTRAINTS_FILE=$UPPER_CONSTRAINTS_FILE tox -eall -- $tempest_regex --concurrency=$TEMPEST_CONCURRENCY
     exitcode=$?
     if [[ $exitcode -ne 0 ]]; then
       die $LINENO "$message failure"