diff --git a/stdlib/2and3/bz2.pyi b/stdlib/2and3/bz2.pyi
index 77658a793..629ecfb5d 100644
--- a/stdlib/2and3/bz2.pyi
+++ b/stdlib/2and3/bz2.pyi
@@ -1,7 +1,7 @@
 import io
 import sys
 from os.path import _PathType
-from typing import IO, Any, Optional, TextIO, Union, overload
+from typing import IO, Any, Optional, TextIO, Union, overload, TypeVar
 
 if sys.version_info >= (3, 8):
     from typing import Literal
@@ -9,6 +9,7 @@ else:
     from typing_extensions import Literal
 
 _PathOrFile = Union[_PathType, IO[bytes]]
+_T = TypeVar("_T")
 
 def compress(data: bytes, compresslevel: int = ...) -> bytes: ...
 def decompress(data: bytes) -> bytes: ...
@@ -44,7 +45,8 @@ if sys.version_info >= (3, 3):
         newline: Optional[str] = ...,
     ) -> Union[BZ2File, TextIO]: ...
 
-class BZ2File(io.BufferedIOBase, IO[bytes]):  # type: ignore  # python/mypy#5027
+class BZ2File(io.BufferedIOBase, IO[bytes]):
+    def __enter__(self: _T) -> _T: ...
     if sys.version_info >= (3, 9):
         def __init__(self,
                      filename: _PathOrFile,
diff --git a/stdlib/3/lzma.pyi b/stdlib/3/lzma.pyi
index f192c4362..8755ec807 100644
--- a/stdlib/3/lzma.pyi
+++ b/stdlib/3/lzma.pyi
@@ -1,7 +1,7 @@
 import io
 import sys
 from os.path import _PathType
-from typing import IO, Any, Mapping, Optional, Sequence, TextIO, Union, overload
+from typing import IO, Any, Mapping, Optional, Sequence, TextIO, TypeVar, Union, overload
 
 if sys.version_info >= (3, 8):
     from typing import Literal
@@ -14,6 +14,7 @@ _OpenTextWritingMode = Literal["wt", "xt", "at"]
 _PathOrFile = Union[_PathType, IO[bytes]]
 
 _FilterChain = Sequence[Mapping[str, Any]]
+_T = TypeVar("_T")
 
 FORMAT_AUTO: int
 FORMAT_XZ: int
@@ -69,7 +70,7 @@ class LZMACompressor(object):
 
 class LZMAError(Exception): ...
 
-class LZMAFile(io.BufferedIOBase, IO[bytes]):  # type: ignore  # python/mypy#5027
+class LZMAFile(io.BufferedIOBase, IO[bytes]):
     def __init__(
         self,
         filename: Optional[_PathOrFile] = ...,
@@ -80,6 +81,7 @@ class LZMAFile(io.BufferedIOBase, IO[bytes]):  # type: ignore  # python/mypy#502
         preset: Optional[int] = ...,
         filters: Optional[_FilterChain] = ...,
     ) -> None: ...
+    def __enter__(self: _T) -> _T: ...
     def close(self) -> None: ...
     @property
     def closed(self) -> bool: ...