diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml
index 48c0807..e70f730 100644
--- a/.github/workflows/ci.yml
+++ b/.github/workflows/ci.yml
@@ -27,12 +27,16 @@ jobs:
     name: Python compatibility test
     needs: [pre-commit, towncrier, package]
     runs-on: ubuntu-latest
+    continue-on-error: ${{ matrix.experimental }}
     strategy:
+      fail-fast: false
       matrix:
-        python-version: [ "3.8", "3.9", "3.10", "3.11", "3.12" ]
+        python-version: [ "3.8", "3.9", "3.10", "3.11", "3.12", "3.13-dev" ]
         include:
           - experimental: false
-
+          # Development Python can fail without failing the entire job
+          - python-version: "3.13-dev"
+            experimental: true
     steps:
     - name: Checkout
       uses: actions/checkout@v4.1.1
diff --git a/README.rst b/README.rst
index 11370b1..c0c3175 100644
--- a/README.rst
+++ b/README.rst
@@ -82,10 +82,9 @@ the `Briefcase code contribution guide
 Although that document is for a different project, the details about setting up
 your development environment are the same.
 
-.. _BeeWare suite: http://beeware.org
+.. _BeeWare suite: https://beeware.org
 .. _Read The Docs: https://travertino.readthedocs.io
-.. _@pybeeware on Twitter: https://twitter.com/pybeeware
-.. _BeeWare Community Code of Conduct: http://beeware.org/community/behavior/
+.. _BeeWare Community Code of Conduct: https://beeware.org/community/behavior/
 .. _log them on Github: https://github.com/beeware/travertino/issues
 .. _fork the code: https://github.com/beeware/travertino
 .. _submit a pull request: https://github.com/beeware/travertino/pulls
diff --git a/changes/149.feature.rst b/changes/149.feature.rst
new file mode 100644
index 0000000..4ddcec9
--- /dev/null
+++ b/changes/149.feature.rst
@@ -0,0 +1 @@
+Support for Python 3.13 was added.
diff --git a/pyproject.toml b/pyproject.toml
index b19d005..ca038c6 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -34,6 +34,7 @@ classifiers = [
     "Programming Language :: Python :: 3.10",
     "Programming Language :: Python :: 3.11",
     "Programming Language :: Python :: 3.12",
+    "Programming Language :: Python :: 3.13",
     "Programming Language :: Python :: 3 :: Only",
     "Topic :: Software Development",
     "Topic :: Software Development :: User Interfaces",
diff --git a/tox.ini b/tox.ini
index da7886e..cd95883 100644
--- a/tox.ini
+++ b/tox.ini
@@ -14,7 +14,7 @@ ignore =
     W503,
 
 [tox]
-envlist = towncrier-check,pre-commit,package,py{38,39,310,311,312}
+envlist = towncrier-check,pre-commit,package,py{38,39,310,311,312,313}
 skip_missing_interpreters = true
 
 [testenv:pre-commit]
@@ -23,7 +23,7 @@ wheel_build_env = .pkg
 extras = dev
 commands = pre-commit run --all-files --show-diff-on-failure --color=always
 
-[testenv:py{,38,39,310,311,312}]
+[testenv:py{,38,39,310,311,312,313}]
 package = wheel
 wheel_build_env = .pkg
 depends =