diff --git a/h11/_connection.py b/h11/_connection.py
index e37d82a..215a794 100644
--- a/h11/_connection.py
+++ b/h11/_connection.py
@@ -10,9 +10,13 @@
     overload,
     Tuple,
     Type,
+    TYPE_CHECKING,
     Union,
 )
 
+if TYPE_CHECKING:
+    from typing_extensions import Buffer
+
 from ._events import (
     ConnectionClosed,
     Data,
@@ -361,7 +365,7 @@ def trailing_data(self) -> Tuple[bytes, bool]:
         """
         return (bytes(self._receive_buffer), self._receive_buffer_closed)
 
-    def receive_data(self, data: bytes) -> None:
+    def receive_data(self, data: "Buffer") -> None:
         """Add data to our internal receive buffer.
 
         This does not actually do any processing on the data, just stores
@@ -501,18 +505,15 @@ def next_event(self) -> Union[Event, Type[NEED_DATA], Type[PAUSED]]:
                 raise
 
     @overload
-    def send(self, event: ConnectionClosed) -> None:
-        ...
+    def send(self, event: ConnectionClosed) -> None: ...
 
     @overload
     def send(
         self, event: Union[Request, InformationalResponse, Response, Data, EndOfMessage]
-    ) -> bytes:
-        ...
+    ) -> bytes: ...
 
     @overload
-    def send(self, event: Event) -> Optional[bytes]:
-        ...
+    def send(self, event: Event) -> Optional[bytes]: ...
 
     def send(self, event: Event) -> Optional[bytes]:
         """Convert a high-level event into bytes that can be sent to the peer,
diff --git a/h11/_receivebuffer.py b/h11/_receivebuffer.py
index e5c4e08..3bfe0b1 100644
--- a/h11/_receivebuffer.py
+++ b/h11/_receivebuffer.py
@@ -1,6 +1,9 @@
 import re
 import sys
-from typing import List, Optional, Union
+from typing import List, Optional, TYPE_CHECKING
+
+if TYPE_CHECKING:
+    from typing_extensions import Buffer
 
 __all__ = ["ReceiveBuffer"]
 
@@ -50,7 +53,7 @@ def __init__(self) -> None:
         self._next_line_search = 0
         self._multiple_lines_search = 0
 
-    def __iadd__(self, byteslike: Union[bytes, bytearray]) -> "ReceiveBuffer":
+    def __iadd__(self, byteslike: "Buffer") -> "ReceiveBuffer":
         self._data += byteslike
         return self
 
diff --git a/h11/tests/test_connection.py b/h11/tests/test_connection.py
index 01260dc..1899bc0 100644
--- a/h11/tests/test_connection.py
+++ b/h11/tests/test_connection.py
@@ -1,4 +1,4 @@
-from typing import Any, cast, Dict, List, Optional, Tuple, Type
+from typing import Any, Callable, cast, Dict, List, Optional, Tuple, Type, Union
 
 import pytest
 
@@ -238,6 +238,22 @@ def test_chunk_boundaries() -> None:
     assert conn.next_event() == EndOfMessage()
 
 
+@pytest.mark.parametrize("data_wrapper", [bytearray, memoryview])
+def test_receive_data_accepts_byteslike_objects(
+    data_wrapper: Callable[[bytes], Union[bytearray, memoryview]],
+) -> None:
+    conn = Connection(our_role=SERVER)
+
+    conn.receive_data(data_wrapper(b"GET / HTTP/1.1\r\nHost: example.com\r\n\r\n"))
+
+    assert conn.next_event() == Request(
+        method="GET",
+        target="/",
+        headers=[("Host", "example.com")],
+    )
+    assert conn.next_event() == EndOfMessage()
+
+
 def test_client_talking_to_http10_server() -> None:
     c = Connection(CLIENT)
     c.send(Request(method="GET", target="/", headers=[("Host", "example.com")]))
diff --git a/newsfragments/186.feature.rst b/newsfragments/186.feature.rst
new file mode 100644
index 0000000..a3e4750
--- /dev/null
+++ b/newsfragments/186.feature.rst
@@ -0,0 +1,2 @@
+Allow ``Connection.receive_data()`` to accept ``bytearray`` and
+``memoryview`` inputs in its public type hints.