diff --git a/.github/workflows/tox.yml b/.github/workflows/tox.yml
index 5878634..2f11703 100644
--- a/.github/workflows/tox.yml
+++ b/.github/workflows/tox.yml
@@ -49,12 +49,12 @@ jobs:
         name: Python unit tests + cryptography
         needs: pre_job
         runs-on: ubuntu-20.04
+        env:
+            cryptography_version: '40.0.2'
         strategy:
             max-parallel: 5
             matrix:
-                # only crypto 3.3 seems to work
                 python-version: [ 3.6, 3.7, 3.8, 3.9, '3.10', '3.11' ]
-                crypto-version: [ 3.3 ]
 
         steps:
             - uses: actions/checkout@v2
@@ -78,10 +78,10 @@ jobs:
               uses: actions/cache@v2
               with:
                   path: ${{ github.workspace }}/.tox/py${{ matrix.python-version }}
-                  key: ${{ runner.os }}-tox-py${{ matrix.python-version }}-crypto${{ matrix.crypto-version }}-${{ hashFiles('setup.py', 'requirements/*.txt') }}
+                  key: ${{ runner.os }}-tox-py${{ matrix.python-version }}-crypto${{ env.cryptography_version }}-${{ hashFiles('setup.py', 'requirements/*.txt') }}
             - name: Test with tox
               if: ${{ needs.pre_job.outputs.should_skip != 'true' }}
-              run: tox -e py${{ matrix.python-version }}-cryptography${{ matrix.crypto-version }}
+              run: tox -e py${{ matrix.python-version }}-cryptography${{ env.cryptography_version }}
     postgres:
         name: Python postgres unit tests
         needs: pre_job
diff --git a/requirements/accelerated.txt b/requirements/accelerated.txt
index 2a2539d..6231bef 100644
--- a/requirements/accelerated.txt
+++ b/requirements/accelerated.txt
@@ -1,2 +1,2 @@
 M2Crypto==0.37.1
-cryptography==3.3.2
+cryptography==40.0.2
diff --git a/tox.ini b/tox.ini
index be53696..a5de8a7 100644
--- a/tox.ini
+++ b/tox.ini
@@ -1,6 +1,6 @@
 [tox]
 envlist =
-  py{3.6,3.7,3.8,3.9,3.10,3.11}-cryptography{3.3}
+  py{3.6,3.7,3.8,3.9,3.10,3.11}-cryptography{40.0.2}
   postgres
   windows
 
@@ -24,8 +24,7 @@ basepython =
 
 deps =
   -r{toxinidir}/requirements/test.txt
-  cryptography3.3: cryptography==3.3.2
-
+  cryptography40.0.2: cryptography==40.0.2
 commands =
   sh -c '! tests/testapp/manage.py makemigrations --dry-run --exit --noinput'
   python tests/patch_pytest.py