diff --git a/jobs/templates/swh-tox.yaml b/jobs/templates/swh-tox.yaml
--- a/jobs/templates/swh-tox.yaml
+++ b/jobs/templates/swh-tox.yaml
@@ -14,15 +14,17 @@
       - string:
           name: DIFF_ID
           description: ID of the Diff patch to apply, if any
+      - string:
+          name: BRANCH
+          description: Remote branch to diff against
+          default: origin/master
     scm:
       - git:
           url: https://forge.softwareheritage.org/source/{display-name}.git
-          branches:
-            - origin/master
 
     wrappers:
       - phabricator-differential:
-          apply-to-master: true
+          apply-to-master: false
           patch-with-force-flag: true
 
 
@@ -32,6 +34,7 @@
           echo "  REPO=$REPO"
           echo "  PHID=$PHID"
           echo "  DIFF_ID=$DIFF_ID"
+          echo "  BRANCH_NAME=$BRANCH_NAME"
       - shell: |
           if (python3 -m tox -a | grep -q -e '^flake8-phab$' ); then
               python3 -m tox -e flake8-phab