diff --git a/.github/workflows/Downgrade.yml b/.github/workflows/Downgrade.yml
new file mode 100644
index 00000000..ae299e31
--- /dev/null
+++ b/.github/workflows/Downgrade.yml
@@ -0,0 +1,56 @@
+name: Downgrade
+
+on:
+  pull_request:
+    paths-ignore:
+      - 'LICENSE.md'
+      - 'README.md'
+      - '.github/workflows/CompatHelper.yml'
+      - '.github/workflows/SpellCheck.yml'
+      - '.github/workflows/TagBot.yml'
+      - 'docs/**'
+  workflow_dispatch:
+
+# Cancel redundant CI tests automatically
+concurrency:
+  group: ${{ github.workflow }}-${{ github.ref }}
+  cancel-in-progress: true
+
+jobs:
+  downgrade_test:
+    if: "!contains(github.event.head_commit.message, 'skip ci')"
+    # We could also include the Julia version as in
+    # name: ${{ matrix.trixi_test }} - ${{ matrix.os }} - Julia ${{ matrix.version }} - ${{ matrix.arch }} - ${{ github.event_name }}
+    # to be more specific. However, that requires us updating the required CI tests whenever we update Julia.
+    name: Downgrade ${{ matrix.os }} - ${{ matrix.arch }} - ${{ github.event_name }}
+    runs-on: ${{ matrix.os }}
+    strategy:
+      fail-fast: false
+      matrix:
+        version:
+          - '1.10'
+        os:
+          - ubuntu-latest
+        arch:
+          - x64
+    steps:
+      - uses: actions/checkout@v4
+      - uses: julia-actions/setup-julia@v2
+        with:
+          version: ${{ matrix.version }}
+          arch: ${{ matrix.arch }}
+      - run: julia -e 'using InteractiveUtils; versioninfo(verbose=true)'
+      - uses: julia-actions/cache@v2
+      - uses: julia-actions/julia-downgrade-compat@v1
+        with:
+          skip: LinearAlgebra
+          projects: ., test
+      - uses: julia-actions/julia-buildpkg@v1
+        env:
+          PYTHON: ""
+      - name: Run tests without coverage
+        uses: julia-actions/julia-runtest@v1
+        with:
+          coverage: false
+        env:
+          PYTHON: ""
diff --git a/Project.toml b/Project.toml
index 5addc43a..0b2e0236 100644
--- a/Project.toml
+++ b/Project.toml
@@ -17,6 +17,6 @@ FastGaussQuadrature = "1"
 HCubature = "1.5"
 LinearAlgebra = "1"
 Meshes = "0.50, 0.51"
-QuadGK = "2"
-Unitful = "1"
+QuadGK = "2.1.1"
+Unitful = "1.19"
 julia = "1.6"
diff --git a/test/Project.toml b/test/Project.toml
index 8ba08814..9a150ccb 100644
--- a/test/Project.toml
+++ b/test/Project.toml
@@ -8,9 +8,9 @@ TestItems = "1c621080-faea-4a02-84b6-bbd5e436b8fe"
 Unitful = "1986cc42-f94f-5a68-af5c-568840ba703d"
 
 [compat]
-Aqua = "0.8"
+Aqua = "0.7, 0.8"
 Meshes = "0.50, 0.51"
-QuadGK = "2"
+QuadGK = "2.1.1"
 TestItemRunner = "1"
 TestItems = "1"
-Unitful = "1"
+Unitful = "1.19"