diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml
index da50009905..729674b5f8 100644
--- a/.github/workflows/ci.yml
+++ b/.github/workflows/ci.yml
@@ -56,9 +56,12 @@ jobs:
             - os: ubuntu-22.04
               python-version: '3.11'
               toxenv: py311-fuse2
-            - os: ubuntu-22.04
+            - os: ubuntu-24.04
               python-version: '3.12'
               toxenv: py312-fuse3
+            - os: ubuntu-24.04
+              python-version: '3.13'
+              toxenv: py313-fuse3
             - os: macos-14
               python-version: '3.11'
               toxenv: py311-none  # note: no fuse testing, due to #6099, see also #6196.
diff --git a/pyproject.toml b/pyproject.toml
index 9ecaccb6d5..c5457ed48b 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -24,6 +24,7 @@ classifiers = [
     "Programming Language :: Python :: 3.10",
     "Programming Language :: Python :: 3.11",
     "Programming Language :: Python :: 3.12",
+    "Programming Language :: Python :: 3.13",
     "Topic :: Security :: Cryptography",
     "Topic :: System :: Archiving :: Backup",
 ]
diff --git a/tox.ini b/tox.ini
index 1695b50bc6..6cde7efe18 100644
--- a/tox.ini
+++ b/tox.ini
@@ -2,7 +2,7 @@
 # fakeroot -u tox --recreate
 
 [tox]
-envlist = py{39,310,311,312}-{none,fuse2,fuse3}
+envlist = py{39,310,311,312,313}-{none,fuse2,fuse3}
 requires =
 	pkgconfig
 	cython