diff --git a/jetty-core/jetty-websocket/jetty-websocket-core-common/src/main/java/org/eclipse/jetty/websocket/core/internal/WebSocketSessionState.java b/jetty-core/jetty-websocket/jetty-websocket-core-common/src/main/java/org/eclipse/jetty/websocket/core/internal/WebSocketSessionState.java
index df1f1ef4149..a8ce47b3679 100644
--- a/jetty-core/jetty-websocket/jetty-websocket-core-common/src/main/java/org/eclipse/jetty/websocket/core/internal/WebSocketSessionState.java
+++ b/jetty-core/jetty-websocket/jetty-websocket-core-common/src/main/java/org/eclipse/jetty/websocket/core/internal/WebSocketSessionState.java
@@ -90,7 +90,7 @@ public class WebSocketSessionState
     public boolean isInputOpen()
     {
         State state = getState();
-        return (state == State.OPEN || state == State.OSHUT);
+        return (state == State.CONNECTED || state == State.OPEN || state == State.OSHUT);
     }
 
     public boolean isOutputOpen()
diff --git a/jetty-core/jetty-websocket/jetty-websocket-jetty-tests/src/test/java/org/eclipse/jetty/websocket/tests/ExplicitDemandTest.java b/jetty-core/jetty-websocket/jetty-websocket-jetty-tests/src/test/java/org/eclipse/jetty/websocket/tests/ExplicitDemandTest.java
index 49478cb482e..54de2c1b5a4 100644
--- a/jetty-core/jetty-websocket/jetty-websocket-jetty-tests/src/test/java/org/eclipse/jetty/websocket/tests/ExplicitDemandTest.java
+++ b/jetty-core/jetty-websocket/jetty-websocket-jetty-tests/src/test/java/org/eclipse/jetty/websocket/tests/ExplicitDemandTest.java
@@ -18,17 +18,23 @@ import java.net.URI;
 import java.nio.ByteBuffer;
 import java.nio.charset.StandardCharsets;
 import java.util.List;
+import java.util.concurrent.BlockingQueue;
 import java.util.concurrent.CopyOnWriteArrayList;
+import java.util.concurrent.CountDownLatch;
 import java.util.concurrent.Future;
 import java.util.concurrent.TimeUnit;
 
 import org.eclipse.jetty.server.Server;
 import org.eclipse.jetty.server.ServerConnector;
+import org.eclipse.jetty.util.BlockingArrayQueue;
+import org.eclipse.jetty.util.BufferUtil;
 import org.eclipse.jetty.websocket.api.Callback;
 import org.eclipse.jetty.websocket.api.Frame;
 import org.eclipse.jetty.websocket.api.Session;
 import org.eclipse.jetty.websocket.api.annotations.WebSocket;
 import org.eclipse.jetty.websocket.client.WebSocketClient;
+import org.eclipse.jetty.websocket.core.CloseStatus;
+import org.eclipse.jetty.websocket.core.OpCode;
 import org.eclipse.jetty.websocket.server.WebSocketUpgradeHandler;
 import org.junit.jupiter.api.AfterEach;
 import org.junit.jupiter.api.BeforeEach;
@@ -36,6 +42,7 @@ import org.junit.jupiter.api.Test;
 
 import static org.awaitility.Awaitility.await;
 import static org.hamcrest.MatcherAssert.assertThat;
+import static org.hamcrest.Matchers.equalTo;
 import static org.hamcrest.Matchers.is;
 import static org.junit.jupiter.api.Assertions.assertNull;
 import static org.junit.jupiter.api.Assertions.assertTrue;
@@ -74,6 +81,38 @@ public class ExplicitDemandTest
         }
     }
 
+    @WebSocket(autoDemand = false)
+    public static class OnOpenSocket implements Session.Listener
+    {
+        CountDownLatch onOpen = new CountDownLatch(1);
+        BlockingQueue<String> textMessages = new BlockingArrayQueue<>();
+        Session session;
+
+        @Override
+        public void onWebSocketOpen(Session session)
+        {
+            try
+            {
+                this.session = session;
+                session.demand();
+                onOpen.await();
+            }
+            catch (InterruptedException e)
+            {
+                throw new RuntimeException(e);
+            }
+        }
+
+        @Override
+        public void onWebSocketFrame(Frame frame, Callback callback)
+        {
+            if (frame.getOpCode() == OpCode.TEXT)
+                textMessages.add(BufferUtil.toString(frame.getPayload()));
+            callback.succeed();
+
+        }
+    }
+
     @WebSocket(autoDemand = false)
     public static class PingSocket extends ListenerSocket
     {
@@ -99,6 +138,7 @@ public class ExplicitDemandTest
     private final WebSocketClient client = new WebSocketClient();
     private final SuspendSocket serverSocket = new SuspendSocket();
     private final ListenerSocket listenerSocket = new ListenerSocket();
+    private final OnOpenSocket onOpenSocket = new OnOpenSocket();
     private final PingSocket pingSocket = new PingSocket();
     private ServerConnector connector;
 
@@ -113,6 +153,7 @@ public class ExplicitDemandTest
             container.addMapping("/suspend", (rq, rs, cb) -> serverSocket);
             container.addMapping("/listenerSocket", (rq, rs, cb) -> listenerSocket);
             container.addMapping("/ping", (rq, rs, cb) -> pingSocket);
+            container.addMapping("/onOpen", (rq, rs, cb) -> onOpenSocket);
         });
 
         server.setHandler(wsHandler);
@@ -213,4 +254,23 @@ public class ExplicitDemandTest
         frame = pingSocket.frames.get(2);
         assertThat(frame.getType(), is(Frame.Type.CLOSE));
     }
+
+    @Test
+    public void testDemandInOnOpen() throws Exception
+    {
+        URI uri = new URI("ws://localhost:" + connector.getLocalPort() + "/onOpen");
+        EventSocket clientSocket = new EventSocket();
+
+        Future<Session> connect = client.connect(clientSocket, uri);
+        Session session = connect.get(5, TimeUnit.SECONDS);
+        session.sendText("test-text", Callback.NOOP);
+
+        String received = onOpenSocket.textMessages.poll(5, TimeUnit.SECONDS);
+        assertThat(received, equalTo("test-text"));
+        onOpenSocket.onOpen.countDown();
+
+        session.close();
+        assertTrue(clientSocket.closeLatch.await(5, TimeUnit.SECONDS));
+        assertThat(clientSocket.closeCode, equalTo(CloseStatus.NORMAL));
+    }
 }