diff --git a/.gitlab-ci.yml b/.gitlab-ci.yml
index d30a240c4e8fac311146bd3ae5144483fa673b41..589a271c04568eb708b28b54a54a5e56cd4a7c9b 100644
--- a/.gitlab-ci.yml
+++ b/.gitlab-ci.yml
@@ -57,7 +57,10 @@ include:
       - if: $CI_PIPELINE_SOURCE != "schedule" && $CI_MERGE_REQUEST_LABELS !~ /.*ci::\w* only.*/
   - local: "/scripts/ci/pipelines/web.yml"
     rules:
-      - if: $CI_MERGE_REQUEST_LABELS =~ /.*ci::web only.*/
+      - if: $CI_MERGE_REQUEST_LABELS =~ /.*ci::web only?($|,)/
+  - local: "/scripts/ci/pipelines/web-fast.yml"
+    rules:
+      - if: $CI_MERGE_REQUEST_LABELS =~ /.*ci::web only \(fast.*/
   - local: "/scripts/ci/pipelines/scheduled.yml"
     rules:
       - if: '$CI_PIPELINE_SOURCE == "schedule"'
diff --git a/scripts/ci/jobs/web-preview.yml b/scripts/ci/jobs/web-preview.yml
index 81fab95d3a4e0f8a0c786a39784d37573339fd08..2314945f8f3cfd9e9957bc2e724f0354500569c5 100644
--- a/scripts/ci/jobs/web-preview.yml
+++ b/scripts/ci/jobs/web-preview.yml
@@ -1,12 +1,17 @@
 preview web site:
   stage: build
   image: $WEB_IMAGE
-  needs: [ci_images, "build linux arch", "build mac petsc arm64"]
+  needs:
+    - job: ci_images
+    - job: "build linux arch"
+      optional: true
+    - job: "build mac petsc arm64"
+      optional: true
   variables:
     HUGO_ENVIRONMENT: "staging"
   script:
     # Copy notebook pages
-    - cp -rl build/*/web/content web/
+    - cp -rl build/*/web/content web/ || true
     - cd web
     # Symlink for prj link checks (data-link shortcode)
     - ln -s ../Tests .
diff --git a/scripts/ci/pipelines/web-fast.yml b/scripts/ci/pipelines/web-fast.yml
new file mode 100644
index 0000000000000000000000000000000000000000..f317ead02e12ef3c19df12a4546b2fd864cc4c50
--- /dev/null
+++ b/scripts/ci/pipelines/web-fast.yml
@@ -0,0 +1,4 @@
+include:
+  - local: "/scripts/ci/jobs/ci_images.yml"
+  - local: "/scripts/ci/jobs/pre-commit.yml"
+  - local: "/scripts/ci/jobs/web-preview.yml"