diff --git a/.github/workflows/e2e-tests.yml b/.github/workflows/e2e-tests.yml
index 9963bbc97..17c9bf1b3 100644
--- a/.github/workflows/e2e-tests.yml
+++ b/.github/workflows/e2e-tests.yml
@@ -320,3 +320,31 @@ jobs:
       - name: Verify dotnet
         shell: pwsh
         run: __tests__/verify-dotnet.ps1 -Patterns "^3.1.201$" -CheckNugetConfig
+
+  test-sequential-version-installation:
+    runs-on: ${{ matrix.operating-system }}
+    strategy:
+      fail-fast: false
+      matrix:
+        operating-system: [ubuntu-latest, windows-latest, macOS-latest]
+    steps:
+      - name: Checkout
+        uses: actions/checkout@v3
+      - name: Clear toolcache
+        shell: pwsh
+        run: __tests__/clear-toolcache.ps1 ${{ runner.os }}
+      # Install one version, use it for something, then switch to next version
+      - name: Setup dotnet 2.2.402
+        uses: ./
+        with:
+          dotnet-version: 2.2.402
+      - name: Verify dotnet 2.2.402
+        shell: pwsh
+        run: __tests__/verify-dotnet.ps1 -Patterns "^2.2.402$"
+      - name: Setup dotnet 7.0.203
+        uses: ./
+        with:
+          dotnet-version: 7.0.203
+      - name: Verify dotnet 7.0.203
+        shell: pwsh
+        run: __tests__/verify-dotnet.ps1 -Patterns "^2.2.402$", "^7.0.203$"