diff --git a/tonic/src/transport/server/incoming.rs b/tonic/src/transport/server/incoming.rs
index 75f33fa23..fe578b2a5 100644
--- a/tonic/src/transport/server/incoming.rs
+++ b/tonic/src/transport/server/incoming.rs
@@ -1,6 +1,6 @@
+use super::service::ServerIo;
 #[cfg(feature = "tls")]
 use super::service::TlsAcceptor;
-use super::{service::ServerIo, Connected};
 use std::{
     net::{SocketAddr, TcpListener as StdTcpListener},
     pin::{pin, Pin},
@@ -20,7 +20,7 @@ pub(crate) fn tcp_incoming<IO, IE>(
     incoming: impl Stream<Item = Result<IO, IE>>,
 ) -> impl Stream<Item = Result<ServerIo<IO>, crate::Error>>
 where
-    IO: AsyncRead + AsyncWrite + Connected + Unpin + Send + 'static,
+    IO: AsyncRead + AsyncWrite + Unpin + Send + 'static,
     IE: Into<crate::Error>,
 {
     async_stream::try_stream! {
@@ -38,7 +38,7 @@ pub(crate) fn tcp_incoming<IO, IE>(
     tls: Option<TlsAcceptor>,
 ) -> impl Stream<Item = Result<ServerIo<IO>, crate::Error>>
 where
-    IO: AsyncRead + AsyncWrite + Connected + Unpin + Send + 'static,
+    IO: AsyncRead + AsyncWrite + Unpin + Send + 'static,
     IE: Into<crate::Error>,
 {
     async_stream::try_stream! {
diff --git a/tonic/src/transport/server/service/tls.rs b/tonic/src/transport/server/service/tls.rs
index d7667b493..9ec9b814f 100644
--- a/tonic/src/transport/server/service/tls.rs
+++ b/tonic/src/transport/server/service/tls.rs
@@ -8,7 +8,6 @@ use tokio_rustls::{
 };
 
 use crate::transport::{
-    server::Connected,
     service::tls::{add_certs_from_pem, load_identity, ALPN_H2},
     Certificate, Identity,
 };
@@ -52,7 +51,7 @@ impl TlsAcceptor {
 
     pub(crate) async fn accept<IO>(&self, io: IO) -> Result<TlsStream<IO>, crate::Error>
     where
-        IO: AsyncRead + AsyncWrite + Connected + Unpin + Send + 'static,
+        IO: AsyncRead + AsyncWrite + Unpin + Send + 'static,
     {
         let acceptor = RustlsAcceptor::from(self.inner.clone());
         acceptor.accept(io).await.map_err(Into::into)