diff --git a/.github/workflows/weekly.yml b/.github/workflows/weekly.yml
index 18c4970121..8b0f51c79e 100644
--- a/.github/workflows/weekly.yml
+++ b/.github/workflows/weekly.yml
@@ -2,40 +2,10 @@ name: Weekly constant time tests
 
 on:
   schedule:
-  - cron: "5 0 * * 0"
+  - cron: "11 1 3 11 *"
 
 jobs:
 
-  constant-time-x64:
-    runs-on: ubuntu-latest
-    strategy:
-      fail-fast: false
-      matrix:
-        include:
-          - name: generic
-            container: openquantumsafe/ci-ubuntu-focal-x86_64:latest
-            CMAKE_ARGS: -DOQS_OPT_TARGET=generic -DCMAKE_BUILD_TYPE=Debug -DOQS_ENABLE_TEST_CONSTANT_TIME=ON
-            PYTEST_ARGS: --numprocesses=auto -k 'test_constant_time'
-            SKIP_ALGS: 'SPHINCS\+-SHA*,Classic-McEliece-(.)*'
-          - name: extensions
-            container: openquantumsafe/ci-ubuntu-focal-x86_64:latest
-            CMAKE_ARGS: -DOQS_DIST_BUILD=OFF -DOQS_OPT_TARGET=haswell -DCMAKE_BUILD_TYPE=Debug -DOQS_ENABLE_TEST_CONSTANT_TIME=ON
-            PYTEST_ARGS: --numprocesses=auto -k 'test_constant_time'
-            SKIP_ALGS: 'SPHINCS\+-SHA*,Classic-McEliece-(.)*'
-    container:
-      image: ${{ matrix.container }}
-    steps:
-      - name: Checkout code
-        uses: actions/checkout@v2
-      - name: Configure
-        run: mkdir build && cd build && cmake -GNinja ${{ matrix.CMAKE_ARGS }} .. && cmake -LA ..
-      - name: Build
-        run: ninja
-        working-directory: build
-      - name: Run tests
-        timeout-minutes: 360
-        run: mkdir -p tmp && SKIP_ALGS='${{ matrix.SKIP_ALGS }}' python3 -m pytest --verbose ${{ matrix.PYTEST_ARGS }}
-
   nistkat-x64:
     runs-on: ubuntu-latest
     strategy:
@@ -55,6 +25,8 @@ jobs:
     steps:
       - name: Checkout code
         uses: actions/checkout@v2
+        with:
+          ref: sw-full-kat
       - name: Configure
         run: mkdir build && cd build && cmake -GNinja ${{ matrix.CMAKE_ARGS }} .. && cmake -LA ..
       - name: Build