diff --git a/.github/workflows/ci_workflows.yml b/.github/workflows/ci_workflows.yml
index 3f457ca3b2..c7e6deb5c1 100644
--- a/.github/workflows/ci_workflows.yml
+++ b/.github/workflows/ci_workflows.yml
@@ -26,49 +26,55 @@ jobs:
     strategy:
       matrix:
         include:
-          - name: Code style checks
-            os: ubuntu-latest
-            python: 3.x
-            toxenv: codestyle
-            allow_failure: false
+          # - name: Code style checks
+          #   os: ubuntu-latest
+          #   python: 3.x
+          #   toxenv: codestyle
+          #   allow_failure: false
 
-          - name: PEP 517
-            os: ubuntu-latest
-            python: 3.x
-            toxenv: pep517
-            allow_failure: false
+          # - name: PEP 517
+          #   os: ubuntu-latest
+          #   python: 3.x
+          #   toxenv: pep517
+          #   allow_failure: false
 
-          - name: Security audit
-            os: ubuntu-latest
-            python: 3.x
-            toxenv: securityaudit
-            allow_failure: false
+          # - name: Security audit
+          #   os: ubuntu-latest
+          #   python: 3.x
+          #   toxenv: securityaudit
+          #   allow_failure: false
 
-          - name: Python 3.11 with coverage checking, all deps, and remote data
-            os: ubuntu-latest
-            python: '3.11'
-            toxenv: py311-test-alldeps-cov
-            toxposargs: --remote-data --run-slow
-            allow_failure: false
+          # - name: Python 3.11 with coverage checking, all deps, and remote data
+          #   os: ubuntu-latest
+          #   python: '3.11'
+          #   toxenv: py311-test-alldeps-cov
+          #   toxposargs: --remote-data --run-slow
+          #   allow_failure: false
 
-          - name: OS X - Python 3.12
-            os: macos-latest
-            python: '3.12'
-            toxenv: py312-test
-            allow_failure: false
+          # - name: OS X - Python 3.12
+          #   os: macos-latest
+          #   python: '3.12'
+          #   toxenv: py312-test
+          #   allow_failure: false
+
+          # - name: Windows - Python 3.10
+          #   os: windows-latest
+          #   python: '3.10'
+          #   toxenv: py310-test
+          #   allow_failure: false
 
-          - name: Windows - Python 3.10
+          - name: Linux - Python 3.13
             os: windows-latest
-            python: '3.10'
-            toxenv: py310-test
+            python: '3.13'
+            toxenv: py313-test
             allow_failure: false
 
           # This also runs on cron but we want to make sure new changes
           # won't break this job at the PR stage.
-          - name: Python 3.12 with latest dev versions of key dependencies, and remote data
+          - name: Python 3.13 with latest dev versions of key dependencies, and remote data
             os: ubuntu-latest
-            python: '3.12'
-            toxenv: py312-test-devdeps
+            python: '3.13'
+            toxenv: py313-test-devdeps
             toxposargs: --remote-data --run-slow
             allow_failure: true
 
diff --git a/tox.ini b/tox.ini
index 07eecb30c0..d3a604ff09 100644
--- a/tox.ini
+++ b/tox.ini
@@ -1,6 +1,6 @@
 [tox]
 envlist =
-    py{310,311,312}-test{,-alldeps,-devdeps,-predeps}{-romandeps}{,-cov}
+    py{310,311,312,313}-test{,-alldeps,-devdeps,-predeps}{-romandeps}{,-cov}
     linkcheck
     codestyle
     pep517