diff --git a/flax/nnx/bridge/module.py b/flax/nnx/bridge/module.py
index 377d9f29..13d0ac34 100644
--- a/flax/nnx/bridge/module.py
+++ b/flax/nnx/bridge/module.py
@@ -190,6 +190,7 @@ def _setattr(self, name: str, value: tp.Any) -> None:
         graph.update(value, state)
       for leaf in jax.tree.leaves(value):
         if isinstance(leaf, Module):
+          leaf._object__state._initializing = self.is_initializing()
           _bind_module(self, leaf)
     super()._setattr(name, value)
 
@@ -308,6 +309,11 @@ def _get_variables(self) -> tp.Mapping:
 
     variable_state: variablelib.VariableState
     for path, variable_state in statelib.to_flat_state(state):
+
+      if issubclass(variable_state.type, rnglib.RngState):
+        # Don't return RNG states, since Linen doesn't have them.
+        continue
+
       try:
         collection = variablelib.variable_name_from_type(variable_state.type)
       except ValueError: