diff --git a/test/test_loopy.py b/test/test_loopy.py
index 26f4f2faf3b83a24932cad0ac3941696ed3e2636..6afd913ded7a9c35833789f21bef789be2da0502 100644
--- a/test/test_loopy.py
+++ b/test/test_loopy.py
@@ -1101,6 +1101,8 @@ def test_kernel_splitting_with_loop(ctx_factory):
 def test_kernel_splitting_with_loop_and_private_temporary(ctx_factory):
     ctx = ctx_factory()
 
+    pytest.xfail("spilling doesn't yet use local axes")
+
     knl = lp.make_kernel(
             "{ [i,k]: 0<=i<n and 0<=k<3 }",
             """