diff --git a/doc/api/http2.md b/doc/api/http2.md
index dcba89fcedec6d..1c85f04af966f6 100644
--- a/doc/api/http2.md
+++ b/doc/api/http2.md
@@ -2437,10 +2437,7 @@ added: v8.4.0
 
 * `callback` {Function}
 
-Stops the server from establishing new sessions. This does not prevent new
-request streams from being created due to the persistent nature of HTTP/2
-sessions. To gracefully shut down the server, call [`http2session.close()`][] on
-all active sessions.
+Stops the server from establishing new sessions and streams.
 
 If `callback` is provided, it is not invoked until all active sessions have been
 closed, although the server has already stopped allowing new sessions. See
@@ -2721,10 +2718,7 @@ added: v8.4.0
 
 * `callback` {Function}
 
-Stops the server from establishing new sessions. This does not prevent new
-request streams from being created due to the persistent nature of HTTP/2
-sessions. To gracefully shut down the server, call [`http2session.close()`][] on
-all active sessions.
+Stops the server from establishing new sessions and streams.
 
 If `callback` is provided, it is not invoked until all active sessions have been
 closed, although the server has already stopped allowing new sessions. See