diff --git a/src/proto/connection.rs b/src/proto/connection.rs
index 5d6b9d2b..8627375a 100644
--- a/src/proto/connection.rs
+++ b/src/proto/connection.rs
@@ -461,13 +461,27 @@ where
             // active streams must be reset.
             //
             // TODO: Are I/O errors recoverable?
-            Err(Error::Io(e, inner)) => {
-                tracing::debug!(error = ?e, "Connection::poll; IO error");
-                let e = Error::Io(e, inner);
+            Err(Error::Io(kind, inner)) => {
+                tracing::debug!(error = ?kind, "Connection::poll; IO error");
+                let e = Error::Io(kind, inner);
 
                 // Reset all active streams
                 self.streams.handle_error(e.clone());
 
+                // Some client implementations drop the connections without notifying its peer
+                // Attempting to read after the client dropped the connection results in UnexpectedEof
+                // If as a server, we don't have anything more to send, just close the connection
+                // without error
+                //
+                // See https://github.com/hyperium/hyper/issues/3427
+                if self.streams.is_server()
+                    && self.streams.is_buffer_empty()
+                    && matches!(kind, io::ErrorKind::UnexpectedEof)
+                {
+                    *self.state = State::Closed(Reason::NO_ERROR, Initiator::Library);
+                    return Ok(());
+                }
+
                 // Return the error
                 Err(e)
             }
diff --git a/src/proto/streams/buffer.rs b/src/proto/streams/buffer.rs
index 2648a410..02d26506 100644
--- a/src/proto/streams/buffer.rs
+++ b/src/proto/streams/buffer.rs
@@ -29,6 +29,10 @@ impl<T> Buffer<T> {
     pub fn new() -> Self {
         Buffer { slab: Slab::new() }
     }
+
+    pub fn is_empty(&self) -> bool {
+        self.slab.is_empty()
+    }
 }
 
 impl Deque {
diff --git a/src/proto/streams/streams.rs b/src/proto/streams/streams.rs
index f4b12c7b..fa8e6843 100644
--- a/src/proto/streams/streams.rs
+++ b/src/proto/streams/streams.rs
@@ -323,6 +323,14 @@ where
 }
 
 impl<B> DynStreams<'_, B> {
+    pub fn is_buffer_empty(&self) -> bool {
+        self.send_buffer.is_empty()
+    }
+
+    pub fn is_server(&self) -> bool {
+        self.peer.is_server()
+    }
+
     pub fn recv_headers(&mut self, frame: frame::Headers) -> Result<(), Error> {
         let mut me = self.inner.lock().unwrap();
 
@@ -1509,6 +1517,11 @@ impl<B> SendBuffer<B> {
         let inner = Mutex::new(Buffer::new());
         SendBuffer { inner }
     }
+
+    pub fn is_empty(&self) -> bool {
+        let buf = self.inner.lock().unwrap();
+        buf.is_empty()
+    }
 }
 
 // ===== impl Actions =====
diff --git a/tests/h2-support/src/mock.rs b/tests/h2-support/src/mock.rs
index 18d08484..60539d0a 100644
--- a/tests/h2-support/src/mock.rs
+++ b/tests/h2-support/src/mock.rs
@@ -54,6 +54,9 @@ struct Inner {
 
     /// True when the pipe is closed.
     closed: bool,
+
+    /// Trigger an `UnexpectedEof` error on read
+    unexpected_eof: bool,
 }
 
 const PREFACE: &[u8] = b"PRI * HTTP/2.0\r\n\r\nSM\r\n\r\n";
@@ -73,6 +76,7 @@ pub fn new_with_write_capacity(cap: usize) -> (Mock, Handle) {
         tx_rem: cap,
         tx_rem_task: None,
         closed: false,
+        unexpected_eof: false,
     }));
 
     let mock = Mock {
@@ -96,6 +100,11 @@ impl Handle {
         &mut self.codec
     }
 
+    pub fn close_without_notify(&mut self) {
+        let mut me = self.codec.get_mut().inner.lock().unwrap();
+        me.unexpected_eof = true;
+    }
+
     /// Send a frame
     pub async fn send(&mut self, item: SendFrame) -> Result<(), SendError> {
         // Queue the frame
@@ -348,6 +357,13 @@ impl AsyncRead for Mock {
 
         let mut me = self.pipe.inner.lock().unwrap();
 
+        if me.unexpected_eof {
+            return Poll::Ready(Err(io::Error::new(
+                io::ErrorKind::UnexpectedEof,
+                "Simulate an unexpected eof error",
+            )));
+        }
+
         if me.rx.is_empty() {
             if me.closed {
                 return Poll::Ready(Ok(()));
diff --git a/tests/h2-tests/tests/client_request.rs b/tests/h2-tests/tests/client_request.rs
index 13bc5f22..7bd223e3 100644
--- a/tests/h2-tests/tests/client_request.rs
+++ b/tests/h2-tests/tests/client_request.rs
@@ -2,6 +2,7 @@ use futures::future::{join, ready, select, Either};
 use futures::stream::FuturesUnordered;
 use futures::StreamExt;
 use h2_support::prelude::*;
+use std::io;
 use std::pin::Pin;
 use std::task::Context;
 
@@ -1822,6 +1823,46 @@ async fn receive_settings_frame_twice_with_second_one_non_empty() {
     join(srv, h2).await;
 }
 
+#[tokio::test]
+async fn server_drop_connection_unexpectedly_return_unexpected_eof_err() {
+    h2_support::trace_init!();
+    let (io, mut srv) = mock::new();
+
+    let srv = async move {
+        let settings = srv.assert_client_handshake().await;
+        assert_default_settings!(settings);
+        srv.recv_frame(
+            frames::headers(1)
+                .request("GET", "https://http2.akamai.com/")
+                .eos(),
+        )
+        .await;
+        srv.close_without_notify();
+    };
+
+    let h2 = async move {
+        let (mut client, h2) = client::handshake(io).await.unwrap();
+        tokio::spawn(async move {
+            let request = Request::builder()
+                .uri("https://http2.akamai.com/")
+                .body(())
+                .unwrap();
+            let _res = client
+                .send_request(request, true)
+                .unwrap()
+                .0
+                .await
+                .expect("request");
+        });
+        let err = h2.await.expect_err("should receive UnexpectedEof");
+        assert_eq!(
+            err.get_io().expect("should be UnexpectedEof").kind(),
+            io::ErrorKind::UnexpectedEof,
+        );
+    };
+    join(srv, h2).await;
+}
+
 const SETTINGS: &[u8] = &[0, 0, 0, 4, 0, 0, 0, 0, 0];
 const SETTINGS_ACK: &[u8] = &[0, 0, 0, 4, 1, 0, 0, 0, 0];
 
diff --git a/tests/h2-tests/tests/server.rs b/tests/h2-tests/tests/server.rs
index dd97e94d..831f1882 100644
--- a/tests/h2-tests/tests/server.rs
+++ b/tests/h2-tests/tests/server.rs
@@ -1416,3 +1416,40 @@ async fn reject_informational_status_header_in_request() {
 
     join(client, srv).await;
 }
+
+#[tokio::test]
+async fn client_drop_connection_without_close_notify() {
+    h2_support::trace_init!();
+
+    let (io, mut client) = mock::new();
+    let client = async move {
+        let _recv_settings = client.assert_server_handshake().await;
+        client
+            .send_frame(frames::headers(1).request("GET", "https://example.com/"))
+            .await;
+        client.send_frame(frames::data(1, &b"hello"[..])).await;
+        client.recv_frame(frames::headers(1).response(200)).await;
+
+        client.close_without_notify(); // Client closed without notify causing UnexpectedEof
+    };
+
+    let mut builder = server::Builder::new();
+    builder.max_concurrent_streams(1);
+
+    let h2 = async move {
+        let mut srv = builder.handshake::<_, Bytes>(io).await.expect("handshake");
+        let (req, mut stream) = srv.next().await.unwrap().unwrap();
+
+        assert_eq!(req.method(), &http::Method::GET);
+
+        let rsp = http::Response::builder().status(200).body(()).unwrap();
+        stream.send_response(rsp, false).unwrap();
+
+        // Step the conn state forward and hitting the EOF
+        // But we have no outstanding request from client to be satisfied, so we should not return
+        // an error
+        let _ = poll_fn(|cx| srv.poll_closed(cx)).await.unwrap();
+    };
+
+    join(client, h2).await;
+}