diff --git a/jobs/templates/swh-pypi.groovy.j2 b/jobs/templates/swh-pypi.groovy.j2
--- a/jobs/templates/swh-pypi.groovy.j2
+++ b/jobs/templates/swh-pypi.groovy.j2
@@ -11,6 +11,17 @@
     break
 }
 
+def BDIST_WHEEL
+
+switch (params.BDIST_WHEEL) {
+  case 'skip':
+    BDIST_WHEEL = ''
+    break
+  default:
+    BDIST_WHEEL = 'bdist_wheel'
+    break
+}
+
 pipeline {
   {% filter indent(width=2) %}
     {%- include 'includes/agent-docker.groovy.j2' -%}
@@ -64,7 +75,7 @@
             done
           fi
 
-          python3 setup.py sdist bdist_wheel
+          python3 setup.py sdist ${BDIST_WHEEL}
         '''
         archiveArtifacts allowEmptyArchive: true,
           artifacts: 'dist/*',