diff --git a/.github/workflows/rust.yml b/.github/workflows/rust.yml
index 9ce7fa9..48fa86c 100644
--- a/.github/workflows/rust.yml
+++ b/.github/workflows/rust.yml
@@ -43,13 +43,25 @@ jobs:
     outputs:
       commits: ${{ toJSON(steps.*.outputs.*) }}
 
+  get_test_tools:
+    runs-on: ubuntu-22.04
+    - name: Clone Landlock test tools
+      uses: actions/checkout@v3
+      with:
+        repository: landlock-lsm/landlock-test-tools
+        path: landlock-test-tools
+        fetch-depth: 0
+        ref: ab616e087cffa4b6716ff026e589d0317e19aaa4 # v1.0.0
+
   ubuntu_20_rust_msrv:
     runs-on: ubuntu-20.04
-    needs: commit_list
+    needs: commit_list get_test_tools
     strategy:
       fail-fast: false
       matrix:
         commit: ${{ fromJSON(needs.commit_list.outputs.commits) }}
+    env:
+      LANDLOCK_CRATE_TEST_ABI: 1
     steps:
     - uses: actions/checkout@v3
       with:
@@ -70,6 +82,12 @@ jobs:
     - name: Build tests
       run: rustup run ${{ env.RUST_TOOLCHAIN }} cargo build --tests --verbose
 
+    - name: Run tests against the local kernel (Landlock ABI ${{ env.LANDLOCK_CRATE_TEST_ABI }})
+      run: rustup run ${{ env.RUST_TOOLCHAIN }} cargo test --verbose
+
+    - name: Run tests against Linux 6.1
+      run: CARGO="rustup run ${{ env.RUST_TOOLCHAIN }} cargo" ./landlock-test-tools/test-rust.sh linux-6.1 2
+
   ubuntu_20_rust_stable:
     runs-on: ubuntu-20.04
     needs: commit_list
@@ -111,7 +129,7 @@ jobs:
 
   ubuntu_22_rust_stable:
     runs-on: ubuntu-22.04
-    needs: commit_list
+    needs: commit_list get_test_tools
     strategy:
       fail-fast: false
       matrix:
@@ -134,14 +152,6 @@ jobs:
     - name: Run tests against the local kernel (Landlock ABI ${{ env.LANDLOCK_CRATE_TEST_ABI }})
       run: $CARGO test --verbose
 
-    - name: Clone Landlock test tools
-      uses: actions/checkout@v3
-      with:
-        repository: landlock-lsm/landlock-test-tools
-        path: landlock-test-tools
-        fetch-depth: 0
-        ref: ab616e087cffa4b6716ff026e589d0317e19aaa4 # v1.0.0
-
     - name: Run tests against Linux 5.10
       run: ./landlock-test-tools/test-rust.sh linux-5.10 0