diff --git a/.github/workflows/main.yml b/.github/workflows/main.yml
index 999f7b3b8..7600f17b1 100644
--- a/.github/workflows/main.yml
+++ b/.github/workflows/main.yml
@@ -125,6 +125,7 @@ jobs:
     env:
       MATRIX_JOBS: 5
       GITHUB_PR_NUMBER: ${{ github.event.number }}
+      GITHUB_REF: ${{ github.ref }}
       RNG_SEED: ${{ github.event.inputs.matrix_rng_seed }}
     steps:
     - uses: actions/checkout@v4
diff --git a/.github/workflows/matrix.mjs b/.github/workflows/matrix.mjs
index 7bedba9a0..f9fda5d50 100644
--- a/.github/workflows/matrix.mjs
+++ b/.github/workflows/matrix.mjs
@@ -72,6 +72,12 @@ matrix.addAxis({
   ]
 });
 
+const addHeadPgVersion = (process.env.GITHUB_REF || '').startsWith('refs/heads/');
+
+if (addHeadPgVersion) {
+  matrix.axisByName.pg_version.values.push('HEAD')
+}
+
 matrix.addAxis({
   name: 'tz',
   title: x => 'client_tz ' + x,
@@ -235,6 +241,9 @@ matrix.generateRow({java_version: eaJava});
 // Ensure we have a job with the minimal and maximal PostgreSQL versions
 matrix.generateRow({pg_version: matrix.axisByName.pg_version.values[0]});
 matrix.generateRow({pg_version: matrix.axisByName.pg_version.values.slice(-1)[0]});
+if (addHeadPgVersion) {
+  matrix.generateRow({pg_version: matrix.axisByName.pg_version.values.slice(-2)[0]});
+}
 //Ensure at least one job with "simple" query_mode exists
 matrix.generateRow({query_mode: {value: 'simple'}});
 // Ensure there will be at least one job with minimal supported Java