diff --git a/.github/workflows/tox.yml b/.github/workflows/tox.yml
index 64ff9029..9cb169ba 100644
--- a/.github/workflows/tox.yml
+++ b/.github/workflows/tox.yml
@@ -17,6 +17,9 @@ jobs:
     strategy:
       matrix:
         python-version: ["3.6.15", "3.8.18"]
+    env:
+      TOXVERS_3.6.15: "3.2.8"
+      TOXVERS_3.8.18: "4.6.4"
     steps:
       - name: Checkout repository
         uses: actions/checkout@v4
@@ -27,7 +30,7 @@ jobs:
       - name: Install dependencies
         run: |
           python -m pip install --upgrade pip
-          pip install tox==3.2.8 tox-gh-actions
+          pip install tox==$TOXVERS_${{ matrix.python-version }} tox-gh-actions
       - name: "Run tox for ${{ matrix.python-version }}"
         run: |
           tox