diff --git a/stubs/networkx/@tests/test_cases/check_tricky_function_params-py312.py b/stubs/networkx/@tests/test_cases/check_tricky_function_params-py312.py
index 20a38a85a8ad..1e040f031aac 100644
--- a/stubs/networkx/@tests/test_cases/check_tricky_function_params-py312.py
+++ b/stubs/networkx/@tests/test_cases/check_tricky_function_params-py312.py
@@ -23,3 +23,9 @@
 assert_type(degree_view(""), int)
 assert_type(degree_view([""]), DegreeView[str])
 assert_type(degree_view({""}), DegreeView[str])
+
+# Test scalar attributes with name in set_node_attributes and set_edge_attributes
+nx.set_node_attributes(G, 5, "some_name")
+nx.set_node_attributes(G, {1: "val"}, "some_name")
+nx.set_edge_attributes(G, 10, "weight")
+nx.set_edge_attributes(G, {(1, 2): 10}, "weight")
diff --git a/stubs/networkx/networkx/classes/function.pyi b/stubs/networkx/networkx/classes/function.pyi
index 8ac27209e6a0..330b799b1d6b 100644
--- a/stubs/networkx/networkx/classes/function.pyi
+++ b/stubs/networkx/networkx/classes/function.pyi
@@ -1,6 +1,6 @@
 from _typeshed import Incomplete, SupportsItems, SupportsKeysAndGetItem, Unused
 from collections.abc import Callable, Collection, Generator, Iterable, Iterator
-from typing import Literal, TypeVar, overload
+from typing import Any, Literal, TypeVar, overload
 
 from networkx import _dispatchable
 from networkx.algorithms.planarity import PlanarEmbedding
@@ -82,15 +82,14 @@ def to_directed(graph): ...
 def to_undirected(graph): ...
 def create_empty_copy(G: Graph[_Node], with_data: bool = True): ...
 
-# incomplete: Can "Any scalar value" be enforced?
 @overload
 def set_node_attributes(
     G: Graph[_Node],
     values: SupportsItems[_Node, Unused],
     name: str,
     *,
-    backend=None,  # @_dispatchable adds these arguments, but we can't use this decorator with @overload
-    **backend_kwargs,
+    backend: str | None = None,  # @_dispatchable adds these arguments, but we can't use this decorator with @overload
+    **backend_kwargs: Any,
 ) -> None: ...
 @overload
 def set_node_attributes(
@@ -98,8 +97,12 @@ def set_node_attributes(
     values: SupportsItems[_Node, SupportsKeysAndGetItem[Incomplete, Incomplete] | Iterable[tuple[Incomplete, Incomplete]]],
     name: None = None,
     *,
-    backend=None,
-    **backend_kwargs,
+    backend: str | None = None,
+    **backend_kwargs: Any,
+) -> None: ...
+@overload
+def set_node_attributes(
+    G: Graph[_Node], values: object, name: str, *, backend: str | None = None, **backend_kwargs: Any
 ) -> None: ...
 
 @_dispatchable
@@ -114,7 +117,7 @@ def set_edge_attributes(
     name: str,
     *,
     backend: str | None = None,  # @_dispatchable adds these arguments, but we can't use this decorator with @overload
-    **backend_kwargs,
+    **backend_kwargs: Any,
 ) -> None: ...
 @overload
 def set_edge_attributes(
@@ -123,10 +126,16 @@ def set_edge_attributes(
     name: str,
     *,
     backend: str | None = None,
-    **backend_kwargs,
+    **backend_kwargs: Any,
 ) -> None: ...
 @overload
-def set_edge_attributes(G: Graph[_Node], values, name: None = None, *, backend: str | None = None, **backend_kwargs) -> None: ...
+def set_edge_attributes(
+    G: Graph[_Node], values: object, name: str, *, backend: str | None = None, **backend_kwargs: Any
+) -> None: ...
+@overload
+def set_edge_attributes(
+    G: Graph[_Node], values: Any, name: None = None, *, backend: str | None = None, **backend_kwargs: Any
+) -> None: ...
 
 @_dispatchable
 def get_edge_attributes(G: Graph[_Node], name: str, default=None) -> dict[tuple[_Node, _Node], Incomplete]: ...