diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml
index d1ee587..ee9f64d 100644
--- a/.github/workflows/ci.yml
+++ b/.github/workflows/ci.yml
@@ -71,6 +71,31 @@ jobs:
         working-directory: bdk_demo
         run: flutter test
 
+  demo-min-flutter:
+    runs-on: ubuntu-latest
+    steps:
+      - name: Checkout
+        uses: actions/checkout@v4
+
+      - name: Setup Rust
+        uses: dtolnay/rust-toolchain@stable
+
+      # Oldest stable Flutter whose Dart satisfies bdk_demo's `sdk: ^3.10.1`.
+      # Keep in sync with bdk_demo/pubspec.yaml when the SDK floor changes.
+      - name: Setup Flutter (minimum supported)
+        uses: subosito/flutter-action@v2
+        with:
+          channel: stable
+          flutter-version: "3.38.3"
+
+      - name: Pub get (bdk_demo)
+        working-directory: bdk_demo
+        run: flutter pub get
+
+      - name: Run tests (bdk_demo)
+        working-directory: bdk_demo
+        run: flutter test
+
   windows-smoke:
     runs-on: windows-latest