diff --git a/.github/workflows/Downgrade.yml b/.github/workflows/Downgrade.yml
new file mode 100644
index 00000000000..c84b1026d1b
--- /dev/null
+++ b/.github/workflows/Downgrade.yml
@@ -0,0 +1,86 @@
+name: Downgrade
+
+on:
+  pull_request:
+    paths-ignore:
+      - 'AUTHORS.md'
+      - 'CITATION.bib'
+      - 'CONTRIBUTING.md'
+      - 'LICENSE.md'
+      - 'NEWS.md'
+      - 'README.md'
+      - '.zenodo.json'
+      - '.github/workflows/benchmark.yml'
+      - '.github/workflows/CompatHelper.yml'
+      - '.github/workflows/TagBot.yml'
+      - 'benchmark/**'
+      - 'docs/**'
+      - 'utils/**'
+  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
+        trixi_test:
+          # - tree_part1
+          # - tree_part2
+          # - tree_part3
+          # - tree_part4
+          # - tree_part5
+          # - tree_part6
+          # - structured
+          # - p4est_part1
+          # - p4est_part2
+          # - t8code_part1
+          # - unstructured_dgmulti
+          # - parabolic
+          # - paper_self_gravitating_gas_dynamics
+          # - misc_part1
+          # - misc_part2
+          # - performance_specializations_part1
+          # - performance_specializations_part2
+          # - mpi
+          - threaded
+    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: julia-actions/julia-downgrade-compat@v1
+        with:
+          skip: LinearAlgebra,Printf,SparseArrays,DiffEqBase
+          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: ""
+          TRIXI_TEST: ${{ matrix.trixi_test }}
diff --git a/Project.toml b/Project.toml
index af3e6b4d078..9bed045637a 100644
--- a/Project.toml
+++ b/Project.toml
@@ -62,17 +62,17 @@ DiffEqCallbacks = "2.25"
 Downloads = "1.6"
 EllipsisNotation = "1.0"
 FillArrays = "0.13.2, 1"
-ForwardDiff = "0.10.18"
-HDF5 = "0.14, 0.15, 0.16, 0.17"
+ForwardDiff = "0.10.24"
+HDF5 = "0.16.10, 0.17"
 IfElse = "0.1"
 LinearAlgebra = "1"
 LinearMaps = "2.7, 3.0"
-LoopVectorization = "0.12.118"
+LoopVectorization = "0.12.151"
 MPI = "0.20"
 Makie = "0.19, 0.20"
 MuladdMacro = "0.2.2"
-Octavian = "0.3.5"
-OffsetArrays = "1.3"
+Octavian = "0.3.21"
+OffsetArrays = "1.12"
 P4est = "0.4.9"
 Polyester = "0.7.5"
 PrecompileTools = "1.1"
@@ -81,19 +81,19 @@ RecipesBase = "1.1"
 Reexport = "1.0"
 Requires = "1.1"
 SciMLBase = "1.90, 2"
-Setfield = "0.8, 1"
+Setfield = "1"
 SimpleUnPack = "1.1"
 SparseArrays = "1"
-StartUpDG = "0.17"
-Static = "0.3, 0.4, 0.5, 0.6, 0.7, 0.8"
+StartUpDG = "0.17.7"
+Static = "0.8.7"
 StaticArrayInterface = "1.4"
-StaticArrays = "1"
-StrideArrays = "0.1.18"
-StructArrays = "0.6"
+StaticArrays = "1.5"
+StrideArrays = "0.1.26"
+StructArrays = "0.6.11"
 SummationByPartsOperators = "0.5.41"
 T8code = "0.4.3, 0.5"
 TimerOutputs = "0.5.7"
-Triangulate = "2.0"
+Triangulate = "2.2"
 TriplotBase = "0.1"
 TriplotRecipes = "0.1"
 TrixiBase = "0.1.1"
diff --git a/test/Project.toml b/test/Project.toml
index ecae0ac0900..a376c2805ea 100644
--- a/test/Project.toml
+++ b/test/Project.toml
@@ -13,13 +13,13 @@ Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
 
 [compat]
 Aqua = "0.8"
-CairoMakie = "0.6, 0.7, 0.8, 0.9, 0.10"
+CairoMakie = "0.10"
 Downloads = "1"
-ForwardDiff = "0.10"
+ForwardDiff = "0.10.24"
 LinearAlgebra = "1"
 MPI = "0.20"
 OrdinaryDiffEq = "6.49.1"
-Plots = "1.16"
+Plots = "1.19"
 Printf = "1"
 Random = "1"
 Test = "1"