diff --git a/asyncssh/agent.py b/asyncssh/agent.py
index d44a7e0..df65912 100644
--- a/asyncssh/agent.py
+++ b/asyncssh/agent.py
@@ -24,8 +24,12 @@
 import os
 import sys
 from types import TracebackType
-from typing import TYPE_CHECKING, List, Optional, Sequence, Tuple, Type, Union
-from typing_extensions import Protocol, Self
+from typing import TYPE_CHECKING, List, Optional, Protocol, Sequence, Tuple
+from typing import Type, Union
+if sys.version_info >= (3, 11):
+    from typing import Self
+else:
+    from typing_extensions import Self
 
 from .listener import SSHForwardListener
 from .misc import async_context_manager, maybe_wait_closed
diff --git a/asyncssh/connection.py b/asyncssh/connection.py
index 93427c4..477e69a 100644
--- a/asyncssh/connection.py
+++ b/asyncssh/connection.py
@@ -38,9 +38,12 @@
 from pathlib import Path
 from types import TracebackType
 from typing import TYPE_CHECKING, Any, AnyStr, Awaitable, Callable, Dict
-from typing import Generic, List, Mapping, Optional, Sequence, Set, Tuple
-from typing import Type, TypeVar, Union, cast
-from typing_extensions import Protocol, Self
+from typing import Generic, List, Mapping, Optional, Protocol, Sequence, Set
+from typing import Tuple, Type, TypeVar, Union, cast
+if sys.version_info >= (3, 11):
+    from typing import Self
+else:
+    from typing_extensions import Self
 
 from .agent import SSHAgentClient, SSHAgentListener
 
diff --git a/asyncssh/forward.py b/asyncssh/forward.py
index 8470c00..b691d05 100644
--- a/asyncssh/forward.py
+++ b/asyncssh/forward.py
@@ -22,10 +22,14 @@
 
 import asyncio
 import socket
+import sys
 from types import TracebackType
 from typing import TYPE_CHECKING, Any, Awaitable, Callable, Dict, Optional
 from typing import Type, cast
-from typing_extensions import Self
+if sys.version_info >= (3, 11):
+    from typing import Self
+else:
+    from typing_extensions import Self
 
 from .misc import ChannelOpenError, SockAddr
 
diff --git a/asyncssh/kex_dh.py b/asyncssh/kex_dh.py
index ab0dc87..25a0920 100644
--- a/asyncssh/kex_dh.py
+++ b/asyncssh/kex_dh.py
@@ -21,8 +21,8 @@
 """SSH Diffie-Hellman, ECDH, and Edwards DH key exchange handlers"""
 
 from hashlib import sha1, sha224, sha256, sha384, sha512
-from typing import TYPE_CHECKING, Callable, Mapping, Optional, Type, cast
-from typing_extensions import Protocol
+from typing import TYPE_CHECKING, Callable, Mapping, Optional, Protocol, Type
+from typing import cast
 
 from .constants import DEFAULT_LANG
 from .crypto import Curve25519DH, Curve448DH, DH, ECDH, PQClass, MLKEM, SNTRUP
diff --git a/asyncssh/listener.py b/asyncssh/listener.py
index e9cc475..97e03fe 100644
--- a/asyncssh/listener.py
+++ b/asyncssh/listener.py
@@ -23,10 +23,14 @@
 import asyncio
 import errno
 import socket
+import sys
 from types import TracebackType
 from typing import TYPE_CHECKING, AnyStr, Callable, Generic, List, Optional
 from typing import Sequence, Set, Tuple, Type, Union
-from typing_extensions import Self
+if sys.version_info >= (3, 11):
+    from typing import Self
+else:
+    from typing_extensions import Self
 
 from .forward import SSHForwarderCoro
 from .forward import SSHLocalPortForwarder, SSHLocalPathForwarder
diff --git a/asyncssh/misc.py b/asyncssh/misc.py
index e9f0d18..47badb9 100644
--- a/asyncssh/misc.py
+++ b/asyncssh/misc.py
@@ -37,9 +37,9 @@
 from random import SystemRandom
 from types import TracebackType
 from typing import Any, AsyncContextManager, Awaitable, Callable, Dict
-from typing import Generator, Generic, IO, Iterator, List, Mapping, Optional
-from typing import Sequence, Tuple, Type, TypeVar, Union, cast, overload
-from typing_extensions import Literal, Protocol
+from typing import Generator, Generic, IO, Iterator, List, Literal, Mapping
+from typing import Optional, Protocol, Sequence, Tuple, Type, TypeVar, Union
+from typing import cast, overload
 
 from .constants import DEFAULT_LANG
 from .constants import DISC_COMPRESSION_ERROR, DISC_CONNECTION_LOST
diff --git a/asyncssh/process.py b/asyncssh/process.py
index 5e10998..c31c1ce 100644
--- a/asyncssh/process.py
+++ b/asyncssh/process.py
@@ -29,11 +29,15 @@
 from pathlib import PurePath
 import socket
 import stat
+import sys
 from types import TracebackType
 from typing import Any, AnyStr, Awaitable, Callable, Dict, Generic, IO
-from typing import Iterable, List, Mapping, Optional, Set, TextIO
+from typing import Iterable, List, Mapping, Optional, Protocol, Set, TextIO
 from typing import Tuple, Type, TypeVar, Union, cast
-from typing_extensions import Protocol, Self
+if sys.version_info >= (3, 11):
+    from typing import Self
+else:
+    from typing_extensions import Self
 
 from .channel import SSHChannel, SSHClientChannel, SSHServerChannel
 
diff --git a/asyncssh/public_key.py b/asyncssh/public_key.py
index b466498..5e8637c 100644
--- a/asyncssh/public_key.py
+++ b/asyncssh/public_key.py
@@ -29,9 +29,8 @@
 
 from hashlib import md5, sha1, sha256, sha384, sha512
 from pathlib import Path, PurePath
-from typing import Callable, Dict, List, Mapping, Optional, Sequence, Set
-from typing import Tuple, Type, Union, cast
-from typing_extensions import Protocol
+from typing import Callable, Dict, List, Mapping, Optional, Protocol
+from typing import Sequence, Set, Tuple, Type, Union, cast
 
 from .crypto import ed25519_available, ed448_available
 from .encryption import Encryption
diff --git a/asyncssh/saslprep.py b/asyncssh/saslprep.py
index 9b73661..4b2563b 100644
--- a/asyncssh/saslprep.py
+++ b/asyncssh/saslprep.py
@@ -33,8 +33,7 @@
 # pylint: enable=deprecated-module
 import unicodedata
 
-from typing import Callable, Optional, Sequence
-from typing_extensions import Literal
+from typing import Callable, Literal, Optional, Sequence
 
 
 class SASLPrepError(ValueError):
diff --git a/asyncssh/scp.py b/asyncssh/scp.py
index f3b69c7..3ecafbd 100644
--- a/asyncssh/scp.py
+++ b/asyncssh/scp.py
@@ -32,8 +32,11 @@
 import sys
 from types import TracebackType
 from typing import TYPE_CHECKING, AsyncIterator, List, NoReturn, Optional
-from typing import Sequence, Tuple, Type, Union, cast
-from typing_extensions import Protocol, Self
+from typing import Protocol, Sequence, Tuple, Type, Union, cast
+if sys.version_info >= (3, 11):
+    from typing import Self
+else:
+    from typing_extensions import Self
 
 from .constants import DEFAULT_LANG
 from .constants import FILEXFER_TYPE_REGULAR, FILEXFER_TYPE_DIRECTORY
diff --git a/asyncssh/sftp.py b/asyncssh/sftp.py
index 75d8df7..e496f9e 100644
--- a/asyncssh/sftp.py
+++ b/asyncssh/sftp.py
@@ -35,9 +35,13 @@
 import time
 from types import TracebackType
 from typing import TYPE_CHECKING, AnyStr, AsyncIterator, Awaitable, Callable
-from typing import Dict, Generic, IO, Iterable, List, Mapping, Optional
-from typing import Sequence, Set, Tuple, Type, TypeVar, Union, cast, overload
-from typing_extensions import Literal, Protocol, Self
+from typing import Dict, Generic, IO, Iterable, List, Literal, Mapping
+from typing import Optional, Protocol, Sequence, Set, Tuple, Type, TypeVar
+from typing import Union, cast, overload
+if sys.version_info >= (3, 11):
+    from typing import Self
+else:
+    from typing_extensions import Self
 
 from . import constants
 from .constants import DEFAULT_LANG
diff --git a/pyproject.toml b/pyproject.toml
index dd2f82b..7adcdd0 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -28,7 +28,7 @@ classifiers = [
 requires-python = '>= 3.10'
 dependencies    = [
     'cryptography >= 48.0.1',
-    'typing_extensions >= 4.0.0',
+    "typing-extensions (>= 4.0.0); python_version < '3.11'",
 ]
 dynamic = ['version']