diff --git a/pytensor/link/pytorch/dispatch/basic.py b/pytensor/link/pytorch/dispatch/basic.py
index 11e1d6c63a..99977a5915 100644
--- a/pytensor/link/pytorch/dispatch/basic.py
+++ b/pytensor/link/pytorch/dispatch/basic.py
@@ -36,11 +36,15 @@ def pytorch_typify_tensor(data, dtype=None, **kwargs):
 
 @pytorch_typify.register(slice)
 @pytorch_typify.register(NoneType)
-@pytorch_typify.register(np.number)
 def pytorch_typify_no_conversion_needed(data, **kwargs):
     return data
 
 
+@pytorch_typify.register(np.number)
+def pytorch_typify_extract(data, **kwargs):
+    return data.item()
+
+
 @singledispatch
 def pytorch_funcify(op, node=None, storage_map=None, **kwargs):
     """Create a PyTorch compatible function from an PyTensor `Op`."""
@@ -57,11 +61,13 @@ def pytorch_funcify_FunctionGraph(
     conversion_func=pytorch_funcify,
     **kwargs,
 ):
+    if "type_conversion_fn" not in kwargs:
+        kwargs["type_conversion_fn"] = pytorch_typify
+
     built_kwargs = {"conversion_func": conversion_func, **kwargs}
     return fgraph_to_python(
         fgraph,
         conversion_func,
-        type_conversion_fn=pytorch_typify,
         fgraph_name=fgraph_name,
         **built_kwargs,
     )
diff --git a/pytensor/link/pytorch/linker.py b/pytensor/link/pytorch/linker.py
index d47aa43dda..8a6fc8b6f5 100644
--- a/pytensor/link/pytorch/linker.py
+++ b/pytensor/link/pytorch/linker.py
@@ -10,7 +10,9 @@ def __init__(self, *args, **kwargs):
         self.gen_functors = []
 
     def fgraph_convert(self, fgraph, input_storage, storage_map, **kwargs):
-        from pytensor.link.pytorch.dispatch import pytorch_funcify
+        import torch
+
+        from pytensor.link.pytorch.dispatch import pytorch_funcify, pytorch_typify
 
         # We want to have globally unique names
         # across the entire pytensor graph, not
@@ -25,9 +27,21 @@ def conversion_func_register(*args, **kwargs):
             self.gen_functors.append((f"_{name}", functor))
             return functor
 
+        def constants_wrapper(x, **kwargs):
+            x = pytorch_typify(x)
+
+            @torch.compiler.assume_constant_result
+            def torch_assume_constant(arg=x):
+                return arg
+
+            name = kwargs["unique_name"](torch_assume_constant)
+            self.gen_functors.append((f"_{name}", torch_assume_constant))
+            return torch_assume_constant
+
         built_kwargs = {
             "unique_name": generator,
             "conversion_func": conversion_func_register,
+            "type_conversion_fn": constants_wrapper,
             **kwargs,
         }
         return pytorch_funcify(
diff --git a/pytensor/link/utils.py b/pytensor/link/utils.py
index 9cbc3838dd..142fefc04d 100644
--- a/pytensor/link/utils.py
+++ b/pytensor/link/utils.py
@@ -749,11 +749,25 @@ def fgraph_to_python(
             )
             if input_storage[0] is not None or isinstance(i, Constant):
                 # Constants need to be assigned locally and referenced
-                global_env[local_input_name] = type_conversion_fn(
+                getter_or_value = type_conversion_fn(
                     input_storage[0], variable=i, storage=input_storage, **kwargs
                 )
-                # TODO: We could attempt to use the storage arrays directly
-                # E.g. `local_input_name = f"{local_input_name}[0]"`
+                if callable(getter_or_value):
+                    # we got passed a function, this could be used to indicate something
+                    # to the backend. We'll embed it
+                    new_output_name = unique_name(i)
+                    getter_unique_name = unique_name(getter_or_value)
+                    global_env[getter_unique_name] = getter_or_value
+                    assign_str = f"{new_output_name} = {getter_unique_name}()"
+                    body_assigns.append(assign_str)
+                    node_input_names.append(new_output_name)
+                    continue
+                else:
+                    global_env[local_input_name] = type_conversion_fn(
+                        input_storage[0], variable=i, storage=input_storage, **kwargs
+                    )
+            # TODO: We could attempt to use the storage arrays directly
+            # E.g. `local_input_name = f"{local_input_name}[0]"`
             node_input_names.append(local_input_name)
 
         node_output_names = [unique_name(v) for v in node.outputs]