diff --git a/Cython.spec b/Cython.spec
index c0c477b..fdf8180 100644
--- a/Cython.spec
+++ b/Cython.spec
@@ -91,10 +91,15 @@ Provides:       bundled(python3dist(tempita))
 %check
 # run.pstats_profile_test* fails on Python 3.12
 #   https://github.com/cython/cython/issues/5470
+# run.parallel fails on i686
+#   https://github.com/cython/cython/issues/2807
+# gil_in_var fails on i686
+#   https://github.com/cython/cython/issues/5768
 %{python3} runtests.py -vv --no-pyregr %{?_smp_mflags} \
   --exclude 'run.pstats_profile_test*' \
   %ifarch %{ix86}
-  --exclude run.parallel  # https://github.com/cython/cython/issues/2807
+  --exclude run.parallel \
+  --exclude gil_in_var \
   %endif
 
 %endif