diff --git a/jobs/templates/swh-cypress.groovy b/jobs/templates/swh-cypress.groovy
--- a/jobs/templates/swh-cypress.groovy
+++ b/jobs/templates/swh-cypress.groovy
@@ -4,6 +4,7 @@
 
   environment {{
     PHAB_CONDUIT_URL = 'https://forge.softwareheritage.org/api/'
+    CYPRESS_CACHE_FOLDER = '/tmp/cypress_cache'
   }}
 
   stages {{
diff --git a/jobs/templates/swh-cypress.yaml b/jobs/templates/swh-cypress.yaml
--- a/jobs/templates/swh-cypress.yaml
+++ b/jobs/templates/swh-cypress.yaml
@@ -62,6 +62,7 @@
           #!/bin/bash
           set -e
           python3 -m pip install --user -e .[testing]
+          export CYPRESS_CACHE_FOLDER=/tmp/cypress_cache/
           yarn install && yarn build-test && yarn run cypress install
           export PYTHONPATH=$PWD
           python3 swh/web/manage.py migrate --settings=swh.web.settings.tests