diff --git a/monai/transforms/spatial/dictionary.py b/monai/transforms/spatial/dictionary.py
index 82dee15c7c..2b80034a07 100644
--- a/monai/transforms/spatial/dictionary.py
+++ b/monai/transforms/spatial/dictionary.py
@@ -2588,6 +2588,7 @@ def set_random_state(
         self, seed: int | None = None, state: np.random.RandomState | None = None
     ) -> RandSimulateLowResolutiond:
         super().set_random_state(seed, state)
+        self.sim_lowres_tfm.set_random_state(seed, state)
         return self
 
     def __call__(self, data: Mapping[Hashable, NdarrayOrTensor]) -> dict[Hashable, NdarrayOrTensor]: