diff --git a/pytensor/link/jax/linker.py b/pytensor/link/jax/linker.py
index 06370b4514..80bb48305f 100644
--- a/pytensor/link/jax/linker.py
+++ b/pytensor/link/jax/linker.py
@@ -1,6 +1,6 @@
 import warnings
 
-from numpy.random import Generator, RandomState
+from numpy.random import Generator
 
 from pytensor.compile.sharedvalue import SharedVariable, shared
 from pytensor.link.basic import JITLinker
@@ -21,7 +21,7 @@ def fgraph_convert(self, fgraph, input_storage, storage_map, **kwargs):
 
         # Replace any shared RNG inputs so that their values can be updated in place
         # without affecting the original RNG container. This is necessary because
-        # JAX does not accept RandomState/Generators as inputs, and they will have to
+        # JAX does not accept Generators as inputs, and they will have to
         # be tipyfied
         if shared_rng_inputs:
             warnings.warn(
@@ -79,7 +79,7 @@ def create_thunk_inputs(self, storage_map):
         thunk_inputs = []
         for n in self.fgraph.inputs:
             sinput = storage_map[n]
-            if isinstance(sinput[0], RandomState | Generator):
+            if isinstance(sinput[0], Generator):
                 new_value = jax_typify(
                     sinput[0], dtype=getattr(sinput[0], "dtype", None)
                 )
diff --git a/pytensor/link/numba/linker.py b/pytensor/link/numba/linker.py
index 553c5ef217..59dc81e1b0 100644
--- a/pytensor/link/numba/linker.py
+++ b/pytensor/link/numba/linker.py
@@ -16,22 +16,4 @@ def jit_compile(self, fn):
         return jitted_fn
 
     def create_thunk_inputs(self, storage_map):
-        from numpy.random import RandomState
-
-        from pytensor.link.numba.dispatch import numba_typify
-
-        thunk_inputs = []
-        for n in self.fgraph.inputs:
-            sinput = storage_map[n]
-            if isinstance(sinput[0], RandomState):
-                new_value = numba_typify(
-                    sinput[0], dtype=getattr(sinput[0], "dtype", None)
-                )
-                # We need to remove the reference-based connection to the
-                # original `RandomState`/shared variable's storage, because
-                # subsequent attempts to use the same shared variable within
-                # other non-Numba-fied graphs will have problems.
-                sinput = [new_value]
-            thunk_inputs.append(sinput)
-
-        return thunk_inputs
+        return [storage_map[n] for n in self.fgraph.inputs]