diff --git a/NEWS b/NEWS
index 4d25f9dc..0b96a621 100644
--- a/NEWS
+++ b/NEWS
@@ -7,6 +7,7 @@
    refused to run checks in this situation.
  * #989: Fix the log message code to avoid using Python 3.10+ logging features. Now borgmatic will
    work with Python 3.9 again.
+ * Add support for Python 3.13.
 
 1.9.9
  * #635: Log the repository path or label on every relevant log message, not just some logs.
diff --git a/scripts/run-full-tests b/scripts/run-full-tests
index 8c5be55a..0bc18406 100755
--- a/scripts/run-full-tests
+++ b/scripts/run-full-tests
@@ -18,8 +18,7 @@ if [ -z "$TEST_CONTAINER" ]; then
 fi
 
 apk add --no-cache python3 py3-pip borgbackup postgresql17-client mariadb-client mongodb-tools \
-    py3-mongo py3-regex py3-ruamel.yaml py3-ruamel.yaml.clib py3-tox py3-typed-ast py3-yaml bash \
-    sqlite fish
+    py3-mongo py3-regex py3-ruamel.yaml py3-ruamel.yaml.clib py3-tox py3-yaml bash sqlite fish
 export COVERAGE_FILE=/tmp/.coverage
 
 tox --workdir /tmp/.tox --sitepackages
diff --git a/test_requirements.txt b/test_requirements.txt
index 1e3e8ef0..b80ffc4e 100644
--- a/test_requirements.txt
+++ b/test_requirements.txt
@@ -30,4 +30,3 @@ regex
 requests==2.32.2
 ruamel.yaml>0.15.0
 toml==0.10.2
-typed-ast
diff --git a/tox.ini b/tox.ini
index b2f0d484..6e3f4f05 100644
--- a/tox.ini
+++ b/tox.ini
@@ -1,5 +1,5 @@
 [tox]
-env_list = py39,py310,py311,py312
+env_list = py39,py310,py311,py312,py313
 skip_missing_interpreters = True
 package = editable
 min_version = 4.0