diff --git a/include/openmc/weight_windows.h b/include/openmc/weight_windows.h
index a5d404133ce..4b592879514 100644
--- a/include/openmc/weight_windows.h
+++ b/include/openmc/weight_windows.h
@@ -61,6 +61,9 @@ struct WeightWindow {
     lower_weight *= factor;
     upper_weight *= factor;
     survival_weight *= factor;
+    // The cutoff is scaled with the window bounds so that it sits at the same
+    // relative depth below the window in any normalization frame
+    weight_cutoff *= factor;
   }
 };