diff --git a/src/Renci.SshNet/SshCommand.cs b/src/Renci.SshNet/SshCommand.cs
index 37e91da08..d8b2e69cd 100644
--- a/src/Renci.SshNet/SshCommand.cs
+++ b/src/Renci.SshNet/SshCommand.cs
@@ -398,13 +398,15 @@ private void Channel_Closed(object sender, ChannelEventArgs e)
             var outputStream = OutputStream;
             if (outputStream != null)
             {
-                outputStream.Flush();
+                outputStream.Dispose();
+                OutputStream = null;
             }
 
             var extendedOutputStream = ExtendedOutputStream;
             if (extendedOutputStream != null)
             {
-                extendedOutputStream.Flush();
+                extendedOutputStream.Dispose();
+                ExtendedOutputStream = null;
             }
 
             _asyncResult.IsCompleted = true;