diff --git a/.github/workflows/Downgrade.yml b/.github/workflows/Downgrade.yml
new file mode 100644
index 00000000..9afc8f0b
--- /dev/null
+++ b/.github/workflows/Downgrade.yml
@@ -0,0 +1,62 @@
+name: Downgrade
+
+on:
+  pull_request:
+    paths-ignore:
+      - 'AUTHORS.md'
+      - 'CITATION.bib'
+      - 'LICENSE.md'
+      - 'README.md'
+      - '.zenodo.json'
+      - '.github/workflows/CompatHelper.yml'
+      - '.github/workflows/Documenter.yml'
+      - '.github/workflows/Format-check.yml'
+      - '.github/workflows/TagBot.yml'
+      - '.github/workflows/SpellCheck.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.trixi_test }} - ${{ matrix.os }} - ${{ matrix.arch }} - ${{ github.event_name }}
+    runs-on: ${{ matrix.os }}
+    strategy:
+      fail-fast: false
+      matrix:
+        version:
+          - '1.9'
+          # - '~1.9.0-0' # including development versions
+          # - 'nightly'
+        os:
+          - ubuntu-latest
+        arch:
+          - x64
+    steps:
+      - uses: actions/checkout@v4
+      - uses: julia-actions/setup-julia@v1
+        with:
+          version: ${{ matrix.version }}
+          arch: ${{ matrix.arch }}
+      - run: julia -e 'using InteractiveUtils; versioninfo(verbose=true)'
+      - uses: julia-actions/cache@v1
+      - uses: cjdoris/julia-downgrade-compat-action@v1
+        with:
+          skip: LinearAlgebra,Printf,SparseArrays
+      - 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 4e7154d3..2a6af7d3 100644
--- a/Project.toml
+++ b/Project.toml
@@ -20,18 +20,18 @@ SummationByPartsOperators = "9f78cca6-572e-554e-b819-917d2f1cf240"
 TimerOutputs = "a759f4b9-e2f1-59dc-863e-4aeb61b1ea8f"
 
 [compat]
-DiffEqBase = "6.121"
-Interpolations = "0.14, 0.15"
+DiffEqBase = "6.128"
+Interpolations = "0.14.2, 0.15"
 LinearAlgebra = "1"
 PolynomialBases = "0.4.15"
 Printf = "1"
 RecipesBase = "1.1"
 Reexport = "1.0"
 Roots = "2.0.17"
-SciMLBase = "1.90, 2"
+SciMLBase = "1.93, 2"
 SimpleUnPack = "1.1"
 SparseArrays = "1"
 StaticArrays = "1"
 SummationByPartsOperators = "0.5.41"
-TimerOutputs = "0.5"
+TimerOutputs = "0.5.7"
 julia = "1.8"