diff --git a/.github/workflows/test-downstream.yml b/.github/workflows/test-downstream.yml
index 4824ba07..34d79d8d 100644
--- a/.github/workflows/test-downstream.yml
+++ b/.github/workflows/test-downstream.yml
@@ -65,7 +65,7 @@ jobs:
     strategy:
       fail-fast: false
       matrix:
-        python-version: ["3.9", "3.12"]
+        python-version: ["3.9", "3.13"]
     steps:
       - uses: actions/checkout@v4
         with:
@@ -82,6 +82,8 @@ jobs:
         run: |
           pip install -r requirements-tests.txt
           pip install anyio[trio]@git+https://github.com/agronholm/anyio.git@${{ github.ref_name }}
+        env:
+          PYTHONWARNINGS: ignore:Unclosed <MemoryObjectReceiveStream:ResourceWarning
       - name: Run tests
         run: bash scripts/test.sh