diff --git a/loguru/__init__.pyi b/loguru/__init__.pyi
index 4e20ecb3..f8d8da37 100644
--- a/loguru/__init__.pyi
+++ b/loguru/__init__.pyi
@@ -176,7 +176,7 @@ class RecordException(NamedTuple):
 class Record(TypedDict):
     elapsed: timedelta
     exception: Optional[RecordException]
-    extra: dict
+    extra: Dict[Any, Any]
     file: RecordFile
     function: str
     level: RecordLevel
@@ -204,7 +204,7 @@ CompressionFunction = Callable[[str], None]
 
 # Actually unusable because TypedDict can't allow extra keys: python/mypy#4617
 class _HandlerConfig(TypedDict, total=False):
-    sink: Union[str, PathLike, TextIO, Writable, Callable[[Message], None], Handler]
+    sink: Union[str, PathLike[str], TextIO, Writable, Callable[[Message], None], Handler]
     level: Union[str, int]
     format: Union[str, FormatFunction]
     filter: Optional[Union[str, FilterFunction, FilterDict]]
@@ -258,7 +258,7 @@ class Logger:
     @overload
     def add(
         self,
-        sink: Union[str, PathLike],
+        sink: Union[str, PathLike[str]],
         *,
         level: Union[str, int] = ...,
         format: Union[str, FormatFunction] = ...,
@@ -329,19 +329,32 @@ class Logger:
         *,
         handlers: Sequence[Dict[str, Any]] = ...,
         levels: Optional[Sequence[LevelConfig]] = ...,
-        extra: Optional[dict] = ...,
+        extra: Optional[Dict[Any, Any]] = ...,
         patcher: Optional[PatcherFunction] = ...,
         activation: Optional[Sequence[ActivationConfig]] = ...
     ) -> List[int]: ...
-    # @overload should be used to differentiate bytes and str once python/mypy#7781 is fixed
-    @staticmethod
+    # @staticmethod cannot be used with @overload in mypy (python/mypy#7781).
+    # However Logger is not exposed and logger is an instance of Logger
+    # so for type checkers it is all the same whether it is defined here
+    # as a static method or an instance method.
+    @overload
     def parse(
-        file: Union[str, PathLike, TextIO, BinaryIO],
-        pattern: Union[str, bytes, Pattern[str], Pattern[bytes]],
+        self,
+        file: Union[str, PathLike[str], TextIO],
+        pattern: Union[str, Pattern[str]],
+        *,
+        cast: Union[Dict[str, Callable[[str], Any]], Callable[[Dict[str, str]], None]] = ...,
+        chunk: int = ...
+    ) -> Generator[Dict[str, Any], None, None]: ...
+    @overload
+    def parse(
+        self,
+        file: BinaryIO,
+        pattern: Union[bytes, Pattern[bytes]],
         *,
-        cast: Union[dict, Callable[[dict], None]] = ...,
+        cast: Union[Dict[str, Callable[[bytes], Any]], Callable[[Dict[str, bytes]], None]] = ...,
         chunk: int = ...
-    ) -> Generator[dict, None, None]: ...
+    ) -> Generator[Dict[str, Any], None, None]: ...
     @overload
     def trace(__self, __message: str, *args: Any, **kwargs: Any) -> None: ...
     @overload