diff --git a/.github/workflows/ci-cd.yml b/.github/workflows/ci-cd.yml
index 736b04e4..0cddd601 100644
--- a/.github/workflows/ci-cd.yml
+++ b/.github/workflows/ci-cd.yml
@@ -66,7 +66,7 @@ jobs:
     name: Test
     strategy:
       matrix:
-        pyver: ['3.8', '3.9', '3.10', '3.11', '3.12']
+        pyver: ['3.8', '3.9', '3.10', '3.11', '3.12', '3.13']
         os: [ubuntu, macos, windows]
         include:
           - pyver: pypy-3.8
diff --git a/aiosmtpd/docs/NEWS.rst b/aiosmtpd/docs/NEWS.rst
index c509f656..1cad2c9a 100644
--- a/aiosmtpd/docs/NEWS.rst
+++ b/aiosmtpd/docs/NEWS.rst
@@ -4,6 +4,14 @@
 
 .. towncrier release notes start
 
+1.4.7 (aiosmtpd-next)
+=====================
+
+Fixed/Improved
+--------------
+
+* Add compatibility for Python 3.13 (Closes #403)
+
 1.4.6 (2024-05-18)
 ==================
 
diff --git a/aiosmtpd/tests/test_server.py b/aiosmtpd/tests/test_server.py
index 443c0833..d2251d4a 100644
--- a/aiosmtpd/tests/test_server.py
+++ b/aiosmtpd/tests/test_server.py
@@ -448,10 +448,17 @@ def test_unixsocket(self, safe_socket_dir, autostop_loop, runner):
         # Stop the task
         cont.end()
         catchup_delay()
-        # Now the listener has gone away
-        # noinspection PyTypeChecker
-        with pytest.raises((socket.timeout, ConnectionError)):
-            assert_smtp_socket(cont)
+        if sys.version_info < (3, 13):
+            # Now the listener has gone away
+            # noinspection PyTypeChecker
+            with pytest.raises((socket.timeout, ConnectionError)):
+                assert_smtp_socket(cont)
+        else:
+            # Starting from Python 3.13, listening asyncio Unix socket is
+            # removed on close, see:
+            # https://github.com/python/cpython/issues/111246
+            # https://github.com/python/cpython/pull/111483
+            assert not Path(cont.unix_socket).exists()
 
     @pytest.mark.filterwarnings(
         "ignore::pytest.PytestUnraisableExceptionWarning"
diff --git a/setup.cfg b/setup.cfg
index 1e23cb17..b33900a0 100644
--- a/setup.cfg
+++ b/setup.cfg
@@ -26,6 +26,7 @@ classifiers =
     Programming Language :: Python :: 3.10
     Programming Language :: Python :: 3.11
     Programming Language :: Python :: 3.12
+    Programming Language :: Python :: 3.13
     Programming Language :: Python :: Implementation :: CPython
     Programming Language :: Python :: Implementation :: PyPy
     Topic :: Communications :: Email :: Mail Transport Agents
diff --git a/tox.ini b/tox.ini
index 25520658..6c26ea09 100644
--- a/tox.ini
+++ b/tox.ini
@@ -1,6 +1,6 @@
 [tox]
 minversion = 3.9.0
-envlist = qa, static, docs, py{38,39,310,311,312,py3}-{nocov,cov,diffcov}
+envlist = qa, static, docs, py{38,39,310,311,312,313,py3}-{nocov,cov,diffcov}
 skip_missing_interpreters = True
 
 [testenv]
@@ -41,6 +41,7 @@ setenv =
     py310: INTERP=py310
     py311: INTERP=py311
     py312: INTERP=py312
+    py313: INTERP=py313
     pypy3: INTERP=pypy3
     pypy38: INTERP=pypy38
     pypy39: INTERP=pypy39