diff --git a/.github/actions/matrix/matrix_includes.yml b/.github/actions/matrix/matrix_includes.yml
index fc5ce44..a811579 100644
--- a/.github/actions/matrix/matrix_includes.yml
+++ b/.github/actions/matrix/matrix_includes.yml
@@ -1,6 +1,11 @@
 include:
   # Always include master (issue #18) - disable-able by config by setting 'disable_master' to true
   - {moodle-branch: 'master', php: '8.1', node: '14.15', mariadb-ver: '10.5', pgsql-ver: '13', database: 'pgsql'}
+  # Test all variants of 4.4.
+  - { moodle-branch: 'MOODLE_404_STABLE', php: '8.3', node: '14.15', mariadb-ver: '10.6', pgsql-ver: '13', database: 'mariadb' }
+  - { moodle-branch: 'MOODLE_404_STABLE', php: '8.3', node: '14.15', mariadb-ver: '10.6', pgsql-ver: '13', database: 'pgsql' }
+  - { moodle-branch: 'MOODLE_404_STABLE', php: '8.1', node: '14.15', mariadb-ver: '10.6', pgsql-ver: '13', database: 'mariadb' }
+  - { moodle-branch: 'MOODLE_404_STABLE', php: '8.1', node: '14.15', mariadb-ver: '10.6', pgsql-ver: '13', database: 'pgsql' }
   # Test all variants of 4.3.
   - { moodle-branch: 'MOODLE_403_STABLE', php: '8.2', node: '14.15', mariadb-ver: '10.6', pgsql-ver: '13', database: 'mariadb' }
   - { moodle-branch: 'MOODLE_403_STABLE', php: '8.2', node: '14.15', mariadb-ver: '10.6', pgsql-ver: '13', database: 'pgsql' }