diff --git a/projects/RabbitMQ.Client/Impl/Connection.cs b/projects/RabbitMQ.Client/Impl/Connection.cs
index 247543a90..2bf1ccc9a 100644
--- a/projects/RabbitMQ.Client/Impl/Connection.cs
+++ b/projects/RabbitMQ.Client/Impl/Connection.cs
@@ -320,6 +320,9 @@ public Task CloseAsync(ushort reasonCode, string reasonText, TimeSpan timeout, b
         ///</remarks>
         internal async Task CloseAsync(ShutdownEventArgs reason, bool abort, TimeSpan timeout, CancellationToken cancellationToken)
         {
+            using var timeoutCts = new CancellationTokenSource(timeout);
+            using var cts = CancellationTokenSource.CreateLinkedTokenSource(timeoutCts.Token, cancellationToken);
+
             if (false == SetCloseReason(reason))
             {
                 // close reason is already set
@@ -330,11 +333,9 @@ internal async Task CloseAsync(ShutdownEventArgs reason, bool abort, TimeSpan ti
             }
             else
             {
-                cancellationToken.ThrowIfCancellationRequested();
-
                 await OnShutdownAsync(reason)
                     .ConfigureAwait(false);
-                await _session0.SetSessionClosingAsync(false, cancellationToken)
+                await _session0.SetSessionClosingAsync(false, cts.Token)
                     .ConfigureAwait(false);
 
                 try
@@ -343,7 +344,7 @@ await _session0.SetSessionClosingAsync(false, cancellationToken)
                     if (false == _closed)
                     {
                         var method = new ConnectionClose(reason.ReplyCode, reason.ReplyText, 0, 0);
-                        await _session0.TransmitAsync(method, cancellationToken)
+                        await _session0.TransmitAsync(method, cts.Token)
                             .ConfigureAwait(false);
                     }
                 }
@@ -392,14 +393,14 @@ await _session0.TransmitAsync(method, cancellationToken)
 
             try
             {
-                await _mainLoopTask.WaitAsync(timeout, cancellationToken)
+                await _mainLoopTask.WaitAsync(timeout, cts.Token)
                     .ConfigureAwait(false);
             }
             catch
             {
                 try
                 {
-                    await _frameHandler.CloseAsync(cancellationToken)
+                    await _frameHandler.CloseAsync(cts.Token)
                         .ConfigureAwait(false);
                 }
                 catch
@@ -518,7 +519,6 @@ await this.AbortAsync()
                 }
 
                 _session0.Dispose();
-                _mainLoopCts.Dispose();
 
                 await _channel0.DisposeAsync()
                     .ConfigureAwait(false);
@@ -529,6 +529,7 @@ await _channel0.DisposeAsync()
             }
             finally
             {
+                _mainLoopCts.Dispose();
                 _disposed = true;
             }
         }
diff --git a/projects/RabbitMQ.Client/Impl/MainSession.cs b/projects/RabbitMQ.Client/Impl/MainSession.cs
index 80abd9899..935d4a65d 100644
--- a/projects/RabbitMQ.Client/Impl/MainSession.cs
+++ b/projects/RabbitMQ.Client/Impl/MainSession.cs
@@ -47,6 +47,7 @@ internal sealed class MainSession : Session, IDisposable
         private volatile bool _closeIsServerInitiated;
         private volatile bool _closing;
         private readonly SemaphoreSlim _closingSemaphore = new SemaphoreSlim(1, 1);
+        private bool _disposed = false;
 
         public MainSession(Connection connection, uint maxBodyLength)
             : base(connection, 0, maxBodyLength)
@@ -83,6 +84,13 @@ public override Task HandleFrameAsync(InboundFrame frame, CancellationToken canc
 
         public async Task SetSessionClosingAsync(bool closeIsServerInitiated, CancellationToken cancellationToken)
         {
+            if (_disposed)
+            {
+                _closing = true;
+                _closeIsServerInitiated = closeIsServerInitiated;
+                return;
+            }
+
             if (await _closingSemaphore.WaitAsync(InternalConstants.DefaultConnectionAbortTimeout, cancellationToken)
                     .ConfigureAwait(false))
             {
@@ -122,6 +130,24 @@ public override ValueTask TransmitAsync<T>(in T cmd, CancellationToken cancellat
             return base.TransmitAsync(in cmd, cancellationToken);
         }
 
-        public void Dispose() => ((IDisposable)_closingSemaphore).Dispose();
+        public void Dispose()
+        {
+            if (_disposed)
+            {
+                return;
+            }
+
+            try
+            {
+                _closingSemaphore.Dispose();
+            }
+            catch
+            {
+            }
+            finally
+            {
+                _disposed = true;
+            }
+        }
     }
 }
diff --git a/projects/Test/Integration/GH/TestGitHubIssues.cs b/projects/Test/Integration/GH/TestGitHubIssues.cs
index 7f8810fb6..f288c2822 100644
--- a/projects/Test/Integration/GH/TestGitHubIssues.cs
+++ b/projects/Test/Integration/GH/TestGitHubIssues.cs
@@ -131,5 +131,21 @@ public async Task TestHeartbeatTimeoutValue_GH1756()
 
             Assert.True(_conn.Heartbeat != default);
         }
+
+        [Fact]
+        public async Task DisposeWhileCatchingTimeoutDeadlocksRepro_GH1759()
+        {
+            _connFactory = new ConnectionFactory();
+            _conn = await _connFactory.CreateConnectionAsync();
+            try
+            {
+                await _conn.CloseAsync(TimeSpan.Zero);
+            }
+            catch (Exception)
+            {
+            }
+
+            await _conn.DisposeAsync();
+        }
     }
 }