diff --git a/docker/Dockerfile.cron b/docker/Dockerfile.cron
new file mode 100644
--- /dev/null
+++ b/docker/Dockerfile.cron
@@ -0,0 +1,10 @@
+FROM swh/stack
+
+USER root
+
+RUN apt-get update && apt-get install -y cron
+
+COPY ./services/swh-web/refresh_savecodenow_statuses.cron /etc/cron.d/refresh_statuses
+
+RUN chmod 0644 /etc/cron.d/refresh_statuses && \
+    crontab /etc/cron.d/refresh_statuses
diff --git a/docker/docker-compose.yml b/docker/docker-compose.yml
--- a/docker/docker-compose.yml
+++ b/docker/docker-compose.yml
@@ -239,6 +239,21 @@
       - "./conf/web.yml:/web.yml:ro"
       - "./services/swh-web/entrypoint.sh:/entrypoint.sh:ro"
 
+  swh-web-cron:
+    build: ./
+    image: swh/cron
+    depends_on:
+      - swh-web
+    env_file:
+      - ./env/01-web-db.env
+      - ./env/02-web-db.env
+    environment:
+      DJANGO_SETTINGS_MODULE: swh.web.settings.production
+      SWH_CONFIG_FILENAME: /web.yml
+    entrypoint: ["cron", "-f"]
+    volumes:
+      - "./conf/web.yml:/web.yml:ro"
+
   swh-deposit-db:
     image: postgres:12
     env_file:
diff --git a/docker/services/swh-web/refresh_savecodenow_statuses.cron b/docker/services/swh-web/refresh_savecodenow_statuses.cron
new file mode 100644
--- /dev/null
+++ b/docker/services/swh-web/refresh_savecodenow_statuses.cron
@@ -0,0 +1 @@
+* * * * * /srv/softwareheritage/venv/bin/django-admin refresh_savecodenow_statuses