diff --git a/skops/io/_general.py b/skops/io/_general.py
index b5685c3f..bb5cac0e 100644
--- a/skops/io/_general.py
+++ b/skops/io/_general.py
@@ -180,13 +180,9 @@ def isnamedtuple(self, t) -> bool:
 
 def function_get_state(obj: Any, save_context: SaveContext) -> dict[str, Any]:
     res = {
-        "__class__": obj.__class__.__name__,
+        "__class__": obj.__name__,
         "__module__": get_module(obj),
         "__loader__": "FunctionNode",
-        "content": {
-            "module_path": get_module(obj),
-            "function": obj.__name__,
-        },
     }
     return res
 
@@ -201,26 +197,20 @@ def __init__(
         super().__init__(state, load_context, trusted)
         # TODO: what do we trust?
         self.trusted = self._get_trusted(trusted, default=SCIPY_UFUNC_TYPE_NAMES)
-        self.children = {"content": state["content"]}
+        self.children = {}
 
     def _construct(self):
-        return _import_obj(
-            self.children["content"]["module_path"],
-            self.children["content"]["function"],
-        )
+        return gettype(self.module_name, self.class_name)
 
     def _get_function_name(self) -> str:
-        return (
-            self.children["content"]["module_path"]
-            + "."
-            + self.children["content"]["function"]
-        )
+        return f"{self.module_name}.{self.class_name}"
 
     def get_unsafe_set(self) -> set[str]:
-        if (self.trusted is True) or (self._get_function_name() in self.trusted):
+        fn_name = self._get_function_name()
+        if (self.trusted is True) or (fn_name in self.trusted):
             return set()
 
-        return {self._get_function_name()}
+        return {fn_name}
 
 
 def partial_get_state(obj: Any, save_context: SaveContext) -> dict[str, Any]:
diff --git a/skops/io/_numpy.py b/skops/io/_numpy.py
index e7bc40a9..7c19cc96 100644
--- a/skops/io/_numpy.py
+++ b/skops/io/_numpy.py
@@ -6,6 +6,7 @@
 import numpy as np
 
 from ._audit import Node, get_tree
+from ._general import function_get_state
 from ._utils import LoadContext, SaveContext, get_module, get_state, gettype
 from .exceptions import UnsupportedTypeException
 
@@ -195,22 +196,6 @@ def _construct(self):
         return gettype(self.module_name, self.class_name)(bit_generator=bit_generator)
 
 
-# For numpy.ufunc we need to get the type from the type's module, but for other
-# functions we get it from objet's module directly. Therefore sett a especial
-# get_state method for them here. The load is the same as other functions.
-def ufunc_get_state(obj: Any, save_context: SaveContext) -> dict[str, Any]:
-    res = {
-        "__class__": obj.__class__.__name__,  # ufunc
-        "__module__": get_module(type(obj)),  # numpy
-        "__loader__": "FunctionNode",
-        "content": {
-            "module_path": get_module(obj),
-            "function": obj.__name__,
-        },
-    }
-    return res
-
-
 def dtype_get_state(obj: Any, save_context: SaveContext) -> dict[str, Any]:
     # we use numpy's internal save mechanism to store the dtype by
     # saving/loading an empty array with that dtype.
@@ -247,7 +232,7 @@ def _construct(self):
     (np.generic, ndarray_get_state),
     (np.ndarray, ndarray_get_state),
     (np.ma.MaskedArray, maskedarray_get_state),
-    (np.ufunc, ufunc_get_state),
+    (np.ufunc, function_get_state),
     (np.dtype, dtype_get_state),
     (np.random.RandomState, random_state_get_state),
     (np.random.Generator, random_generator_get_state),