diff --git a/.github/workflows/test-all-warehouses.yml b/.github/workflows/test-all-warehouses.yml
index cb075661f..01ca0611f 100644
--- a/.github/workflows/test-all-warehouses.yml
+++ b/.github/workflows/test-all-warehouses.yml
@@ -37,7 +37,10 @@ jobs:
     strategy:
       fail-fast: false
       matrix:
-        dbt-version: ${{ inputs.dbt-version && fromJSON(format('["{0}"]', inputs.dbt-version)) || fromJSON('["1.3.0", "latest_official"]') }}
+        dbt-version:
+          ${{ inputs.dbt-version && fromJSON(format('["{0}"]', inputs.dbt-version)) ||
+          ! contains(github.event_name, 'pull_request') && fromJSON('["1.3.0", "latest_official"]') ||
+          fromJSON('["latest_official"]') }}
         warehouse-type:
           [
             postgres,
@@ -48,6 +51,10 @@ jobs:
             databricks_catalog,
             spark,
           ]
+        include:
+          # If we're not running on a specific dbt version, then always add postgres on 1.3.0
+          - dbt-version: "${{ inputs.dbt-version || '1.3.0' }}"
+            warehouse-type: postgres
     uses: ./.github/workflows/test-warehouse.yml
     with:
       warehouse-type: ${{ matrix.warehouse-type }}