diff --git a/CHANGELOG.md b/CHANGELOG.md
index d1b3d18..0344397 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -1,6 +1,7 @@
 ## 3.0.1-wip
 
 - Remove unnecessary `dependency_overrides`.
+- Remove obsolete documentation for `WebSocketChannel.new`.
 
 ## 3.0.0
 
diff --git a/README.md b/README.md
index 35f16c8..3ff0637 100644
--- a/README.md
+++ b/README.md
@@ -68,15 +68,6 @@ other socket exactly why they're closing the connection.
 `WebSocketChannel` also works as a cross-platform implementation of the
 WebSocket protocol. The [`WebSocketChannel.connect` constructor][connect]
 connects to a listening server using the appropriate implementation for the
-platform. The [`WebSocketChannel()` constructor][new] takes an underlying
-[`StreamChannel`][stream_channel] over which it communicates using the WebSocket
-protocol. It also provides the static [`signKey()`][signKey] method to make it
-easier to implement the [initial WebSocket handshake][]. These are used in the
-[`shelf_web_socket`][shelf_web_socket] package to support WebSockets in a
-cross-platform way.
-
-[connect]: https://pub.dev/documentation/web_socket_channel/latest/web_socket_channel/WebSocketChannel/WebSocketChannel.connect.html
-[new]: https://pub.dev/documentation/web_socket_channel/latest/web_socket_channel/WebSocketChannel/WebSocketChannel.html
-[signKey]: https://pub.dev/documentation/web_socket_channel/latest/web_socket_channel/WebSocketChannel/signKey.html
-[initial WebSocket handshake]: https://tools.ietf.org/html/rfc6455#section-4.2.2
-[shelf_web_socket]: https://pub.dev/packages/shelf_web_socket
+platform.
+
+[connect]: https://pub.dev/documentation/web_socket_channel/latest/web_socket_channel/WebSocketChannel/WebSocketChannel.connect.html
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