diff --git a/tests/tests.yml b/tests/tests.yml
index a79f90b..ef3a95b 100644
--- a/tests/tests.yml
+++ b/tests/tests.yml
@@ -33,15 +33,12 @@
     - smoke27:
         dir: python/smoke
         run: VERSION=2.7 METHOD=virtualenv ./venv.sh
-    - smoke35_optional:
-        dir: python/smoke
-        run: VERSION=3.5 INSTALL_OR_SKIP=true ./venv.sh
     - smoke36:
         dir: python/smoke
         run: VERSION=3.6 ./venv.sh
-    - smoke37:
+    - smoke37_optional:
         dir: python/smoke
-        run: VERSION=3.7 ./venv.sh
+        run: VERSION=3.7 INSTALL_OR_SKIP=true ./venv.sh
     - smoke38:
         dir: python/smoke
         run: VERSION=3.8 ./venv.sh
@@ -57,6 +54,9 @@
     - smoke312:
         dir: python/smoke
         run: VERSION=3.12 ./venv.sh
+    - smoke313:
+        dir: python/smoke
+        run: VERSION=3.13 ./venv.sh
     - smoke_pypy37_optional:
         dir: python/smoke
         run: PYTHON=pypy3.7 VERSION=3.7 INSTALL_OR_SKIP=true ./venv.sh
@@ -83,12 +83,12 @@
     - virtualenv
     - python2.7
     - python3.6
-    - python3.7
     - python3.8
     - python3.9
     - python3.10-devel
     - python3.11-devel
     - python3.12-devel
+    - python3.13-devel
     - python2-devel
     - pypy3.9-devel
     - pypy3.10-devel