diff --git a/stubs/networkx/networkx/algorithms/shortest_paths/weighted.pyi b/stubs/networkx/networkx/algorithms/shortest_paths/weighted.pyi
index 3f7ce7a47356..ad3d0d0c3879 100644
--- a/stubs/networkx/networkx/algorithms/shortest_paths/weighted.pyi
+++ b/stubs/networkx/networkx/algorithms/shortest_paths/weighted.pyi
@@ -1,63 +1,72 @@
 from _typeshed import Incomplete
-from collections.abc import Generator
+from collections.abc import Callable, Generator
+from typing import Any
+from typing_extensions import TypeAlias
 
 from networkx.utils.backends import _dispatch
 
+# type alias for the weight function
+_WeightFunction: TypeAlias = Callable[[Any, Any, dict[str, Any]], float | None]
+
 @_dispatch
-def dijkstra_path(G, source, target, weight: str = "weight"): ...
+def dijkstra_path(G, source, target, weight: str | _WeightFunction = "weight"): ...
 @_dispatch
-def dijkstra_path_length(G, source, target, weight: str = "weight"): ...
+def dijkstra_path_length(G, source, target, weight: str | _WeightFunction = "weight"): ...
 @_dispatch
-def single_source_dijkstra_path(G, source, cutoff: Incomplete | None = None, weight: str = "weight"): ...
+def single_source_dijkstra_path(G, source, cutoff: Incomplete | None = None, weight: str | _WeightFunction = "weight"): ...
 @_dispatch
-def single_source_dijkstra_path_length(G, source, cutoff: Incomplete | None = None, weight: str = "weight"): ...
+def single_source_dijkstra_path_length(G, source, cutoff: Incomplete | None = None, weight: str | _WeightFunction = "weight"): ...
 @_dispatch
 def single_source_dijkstra(
-    G, source, target: Incomplete | None = None, cutoff: Incomplete | None = None, weight: str = "weight"
+    G, source, target: Incomplete | None = None, cutoff: Incomplete | None = None, weight: str | _WeightFunction = "weight"
 ): ...
 @_dispatch
-def multi_source_dijkstra_path(G, sources, cutoff: Incomplete | None = None, weight: str = "weight"): ...
+def multi_source_dijkstra_path(G, sources, cutoff: Incomplete | None = None, weight: str | _WeightFunction = "weight"): ...
 @_dispatch
-def multi_source_dijkstra_path_length(G, sources, cutoff: Incomplete | None = None, weight: str = "weight"): ...
+def multi_source_dijkstra_path_length(G, sources, cutoff: Incomplete | None = None, weight: str | _WeightFunction = "weight"): ...
 @_dispatch
 def multi_source_dijkstra(
-    G, sources, target: Incomplete | None = None, cutoff: Incomplete | None = None, weight: str = "weight"
+    G, sources, target: Incomplete | None = None, cutoff: Incomplete | None = None, weight: str | _WeightFunction = "weight"
 ): ...
 @_dispatch
-def dijkstra_predecessor_and_distance(G, source, cutoff: Incomplete | None = None, weight: str = "weight"): ...
+def dijkstra_predecessor_and_distance(G, source, cutoff: Incomplete | None = None, weight: str | _WeightFunction = "weight"): ...
 @_dispatch
-def all_pairs_dijkstra(G, cutoff: Incomplete | None = None, weight: str = "weight") -> Generator[Incomplete, None, None]: ...
+def all_pairs_dijkstra(
+    G, cutoff: Incomplete | None = None, weight: str | _WeightFunction = "weight"
+) -> Generator[Incomplete, None, None]: ...
 @_dispatch
 def all_pairs_dijkstra_path_length(
-    G, cutoff: Incomplete | None = None, weight: str = "weight"
+    G, cutoff: Incomplete | None = None, weight: str | _WeightFunction = "weight"
 ) -> Generator[Incomplete, None, None]: ...
 @_dispatch
-def all_pairs_dijkstra_path(G, cutoff: Incomplete | None = None, weight: str = "weight") -> Generator[Incomplete, None, None]: ...
+def all_pairs_dijkstra_path(
+    G, cutoff: Incomplete | None = None, weight: str | _WeightFunction = "weight"
+) -> Generator[Incomplete, None, None]: ...
 @_dispatch
 def bellman_ford_predecessor_and_distance(
-    G, source, target: Incomplete | None = None, weight: str = "weight", heuristic: bool = False
+    G, source, target: Incomplete | None = None, weight: str | _WeightFunction = "weight", heuristic: bool = False
 ): ...
 @_dispatch
-def bellman_ford_path(G, source, target, weight: str = "weight"): ...
+def bellman_ford_path(G, source, target, weight: str | _WeightFunction = "weight"): ...
 @_dispatch
-def bellman_ford_path_length(G, source, target, weight: str = "weight"): ...
+def bellman_ford_path_length(G, source, target, weight: str | _WeightFunction = "weight"): ...
 @_dispatch
-def single_source_bellman_ford_path(G, source, weight: str = "weight"): ...
+def single_source_bellman_ford_path(G, source, weight: str | _WeightFunction = "weight"): ...
 @_dispatch
-def single_source_bellman_ford_path_length(G, source, weight: str = "weight"): ...
+def single_source_bellman_ford_path_length(G, source, weight: str | _WeightFunction = "weight"): ...
 @_dispatch
-def single_source_bellman_ford(G, source, target: Incomplete | None = None, weight: str = "weight"): ...
+def single_source_bellman_ford(G, source, target: Incomplete | None = None, weight: str | _WeightFunction = "weight"): ...
 @_dispatch
-def all_pairs_bellman_ford_path_length(G, weight: str = "weight") -> Generator[Incomplete, None, None]: ...
+def all_pairs_bellman_ford_path_length(G, weight: str | _WeightFunction = "weight") -> Generator[Incomplete, None, None]: ...
 @_dispatch
-def all_pairs_bellman_ford_path(G, weight: str = "weight") -> Generator[Incomplete, None, None]: ...
+def all_pairs_bellman_ford_path(G, weight: str | _WeightFunction = "weight") -> Generator[Incomplete, None, None]: ...
 @_dispatch
-def goldberg_radzik(G, source, weight: str = "weight"): ...
+def goldberg_radzik(G, source, weight: str | _WeightFunction = "weight"): ...
 @_dispatch
-def negative_edge_cycle(G, weight: str = "weight", heuristic: bool = True): ...
+def negative_edge_cycle(G, weight: str | _WeightFunction = "weight", heuristic: bool = True): ...
 @_dispatch
-def find_negative_cycle(G, source, weight: str = "weight"): ...
+def find_negative_cycle(G, source, weight: str | _WeightFunction = "weight"): ...
 @_dispatch
-def bidirectional_dijkstra(G, source, target, weight: str = "weight"): ...
+def bidirectional_dijkstra(G, source, target, weight: str | _WeightFunction = "weight"): ...
 @_dispatch
-def johnson(G, weight: str = "weight"): ...
+def johnson(G, weight: str | _WeightFunction = "weight"): ...