diff --git a/scripts/build_assets_image b/scripts/build_assets_image
index 9afada244c8..b659bd751b2 100755
--- a/scripts/build_assets_image
+++ b/scripts/build_assets_image
@@ -27,3 +27,9 @@ docker login -u gitlab-ci-token -p ${CI_JOB_TOKEN} ${CI_REGISTRY}
 docker push ${ASSETS_IMAGE_PATH}:${CI_COMMIT_REF_SLUG}
 docker push ${ASSETS_IMAGE_PATH}:${CI_COMMIT_SHA}
 
+# Also tag the image with GitLab version, if running on a tag pipeline, so
+# other projects can simply use that instead of computing the slug.
+if [ -n "$CI_COMMIT_TAG" ]; then
+    docker tag ${ASSETS_IMAGE_PATH}:${CI_COMMIT_REF_SLUG} ${ASSETS_IMAGE_PATH}:${CI_COMMIT_REF_NAME}
+    docker push ${ASSETS_IMAGE_PATH}:${CI_COMMIT_REF_NAME}
+fi
diff --git a/scripts/trigger-build b/scripts/trigger-build
index 9dbafffddfc..9c5fc3c76a5 100755
--- a/scripts/trigger-build
+++ b/scripts/trigger-build
@@ -141,7 +141,7 @@ module Trigger
         "GITLAB_#{edition}_VERSION" => ENV['CI_COMMIT_REF_NAME'],
         "GITLAB_VERSION" => ENV['CI_COMMIT_REF_NAME'],
         "GITLAB_TAG" => ENV['CI_COMMIT_TAG'],
-        "GITLAB_ASSETS_TAG" => ENV['CI_COMMIT_REF_SLUG'],
+        "GITLAB_ASSETS_TAG" => ENV['CI_COMMIT_TAG'] ? ENV['CI_COMMIT_REF_NAME'] : ENV['CI_COMMIT_REF_SLUG'],
         "#{edition}_PIPELINE" => 'true'
       }
     end