diff --git a/python-llvmlite.spec b/python-llvmlite.spec
index bc7668f..f58f0ad 100644
--- a/python-llvmlite.spec
+++ b/python-llvmlite.spec
@@ -85,9 +85,9 @@ Documentation for %{name}.
 %prep
 %forgeautosetup -p1
 
-# seems to be fine with 3.11 but we need to loosen the guard
+# seems to be fine with 3.11 and 3.12, but we need to loosen the guard
 # see also: “python 3.10 support” https://github.com/numba/llvmlite/issues/740
-sed -i 's/max_python_version =.*/max_python_version = "3.12"/' setup.py
+sed -i 's/max_python_version =.*/max_python_version = "3.13"/' setup.py
 
 # increase verbosity of tests to 2
 sed -i 's/\(def run_tests.*verbosity=\)1/\12/' llvmlite/tests/__init__.py