diff --git a/stubs/jmespath/jmespath/__init__.pyi b/stubs/jmespath/jmespath/__init__.pyi
index 4f40ec73e..23077fb69 100644
--- a/stubs/jmespath/jmespath/__init__.pyi
+++ b/stubs/jmespath/jmespath/__init__.pyi
@@ -3,5 +3,5 @@ from typing import Any
 from jmespath import parser as parser
 from jmespath.visitor import Options as Options
 
-def compile(expression): ...
-def search(expression, data, options: Any | None = ...): ...
+def compile(expression: str) -> parser.ParsedResult: ...
+def search(expression: str, data: Any, options: Any | None = ...) -> Any: ...
diff --git a/stubs/jmespath/jmespath/functions.pyi b/stubs/jmespath/jmespath/functions.pyi
index b64e9ec28..e1916f99e 100644
--- a/stubs/jmespath/jmespath/functions.pyi
+++ b/stubs/jmespath/jmespath/functions.pyi
@@ -1,9 +1,17 @@
-from typing import Any
+from collections.abc import Callable
+from typing import Any, TypeVar
+from typing_extensions import NotRequired, TypedDict
 
-TYPES_MAP: Any
-REVERSE_TYPES_MAP: Any
+TYPES_MAP: dict[str, str]
+REVERSE_TYPES_MAP: dict[str, tuple[str, ...]]
 
-def signature(*arguments): ...
+class _Signature(TypedDict):
+    types: list[str]
+    variadic: NotRequired[bool]
+
+_F = TypeVar("_F", bound=Callable[..., Any])
+
+def signature(*arguments: _Signature) -> Callable[[_F], _F]: ...
 
 class FunctionRegistry(type):
     def __init__(cls, name, bases, attrs) -> None: ...