diff --git a/jobs/templates/swh-pipeline-diff.yaml b/jobs/templates/swh-pipeline-diff.yaml
--- a/jobs/templates/swh-pipeline-diff.yaml
+++ b/jobs/templates/swh-pipeline-diff.yaml
@@ -8,10 +8,11 @@
     default-tox-environment: py3
     concurrent: true
     sandbox: true
-    auth-token: 'ph4br1cat0r'
+    auth-token: "ph4br1cat0r"
     phabricator_diff: true
     do_cypress: false
     timeout: 10
+    max_concurrent: 0
     properties:
       - build-discarder:
           days-to-keep: 90
@@ -39,6 +40,4 @@
           description: tox environment to use for the main tox run
           default: "{default-tox-environment}"
 
-    dsl:
-      !include-jinja2: swh-pipeline.groovy.j2
-
+    dsl: !include-jinja2: swh-pipeline.groovy.j2
diff --git a/jobs/templates/swh-pipeline.groovy.j2 b/jobs/templates/swh-pipeline.groovy.j2
--- a/jobs/templates/swh-pipeline.groovy.j2
+++ b/jobs/templates/swh-pipeline.groovy.j2
@@ -3,6 +3,19 @@
     {%- include 'includes/agent-docker.groovy.j2' -%}
   {% endfilter %}
 
+  options {
+    // require "Throttle Concurrent Builds" Jenkins plugin
+    throttleJobProperty(
+      categories: [],
+      limitOneJobWithMatchingParams: false,
+      maxConcurrentPerNode: {{ max_concurrent }},
+      maxConcurrentTotal: {{ max_concurrent }},
+      paramsToUseForLimit: '',
+      throttleEnabled: true,
+      throttleOption: 'project',
+    )
+  }
+
   environment {
     PHAB_CONDUIT_URL = 'https://forge.softwareheritage.org/api/'
   }
diff --git a/jobs/templates/swh-pipeline.yaml b/jobs/templates/swh-pipeline.yaml
--- a/jobs/templates/swh-pipeline.yaml
+++ b/jobs/templates/swh-pipeline.yaml
@@ -8,9 +8,9 @@
     default-tox-environment: py3
     concurrent: true
     triggers:
-      - timed: '@daily'
+      - timed: "@daily"
     sandbox: true
-    auth-token: 'ph4br1cat0r'
+    auth-token: "ph4br1cat0r"
     properties:
       - build-discarder:
           days-to-keep: 90
@@ -18,6 +18,7 @@
     phabricator_diff: false
     do_cypress: false
     timeout: 10
+    max_concurrent: 0
     parameters:
       - git-parameter:
           name: REVISION
@@ -32,6 +33,4 @@
           description: tox environment to use for the main tox run
           default: "{default-tox-environment}"
 
-    dsl:
-      !include-jinja2: swh-pipeline.groovy.j2
-
+    dsl: !include-jinja2: swh-pipeline.groovy.j2