diff --git a/src/Grpc.Net.Client/Balancer/Internal/BalancerHttpHandler.cs b/src/Grpc.Net.Client/Balancer/Internal/BalancerHttpHandler.cs
index b83554334..22f7debf7 100644
--- a/src/Grpc.Net.Client/Balancer/Internal/BalancerHttpHandler.cs
+++ b/src/Grpc.Net.Client/Balancer/Internal/BalancerHttpHandler.cs
@@ -149,13 +149,18 @@ protected override async Task<HttpResponseMessage> SendAsync(
         {
             var responseMessage = await responseMessageTask.ConfigureAwait(false);
 
-            // TODO(JamesNK): This doesn't take into account long running streams.
-            // If there is response content then we need to wait until it is read to the end
-            // or the request is disposed.
-            result.SubchannelCallTracker?.Complete(new CompletionContext
+            if (result.SubchannelCallTracker is not null)
             {
-                Address = address
-            });
+                if (responseMessage.Content is not null)
+                {
+                    responseMessage.Content = new HttpContentWrapper(responseMessage.Content,
+                        () => result.SubchannelCallTracker.Complete(new CompletionContext { Address = address }));
+                }
+                else
+                {
+                    result.SubchannelCallTracker.Complete(new CompletionContext { Address = address });
+                }
+            }
 
             return responseMessage;
         }
diff --git a/src/Grpc.Net.Client/Balancer/Internal/HttpContentWrapper.cs b/src/Grpc.Net.Client/Balancer/Internal/HttpContentWrapper.cs
new file mode 100644
index 000000000..17b8f2789
--- /dev/null
+++ b/src/Grpc.Net.Client/Balancer/Internal/HttpContentWrapper.cs
@@ -0,0 +1,71 @@
+using System.Net;
+
+namespace Grpc.Net.Client.Balancer.Internal;
+
+internal sealed class HttpContentWrapper : HttpContent
+{
+    private readonly HttpContent _inner;
+    private readonly Action _disposeAction;
+    private bool _disposed;
+
+    public HttpContentWrapper(HttpContent inner, Action disposeAction)
+    {
+        _inner = inner;
+        _disposeAction = disposeAction;
+
+        foreach (var kvp in inner.Headers)
+        {
+            Headers.TryAddWithoutValidation(kvp.Key, kvp.Value.ToArray());
+        }
+    }
+
+#if NET5_0_OR_GREATER
+
+    protected override void SerializeToStream(Stream stream, TransportContext? context, CancellationToken cancellationToken)
+    {
+        using var content = _inner.ReadAsStream(cancellationToken);
+        content.CopyTo(stream);
+    }
+
+    protected override async Task SerializeToStreamAsync(Stream stream, TransportContext? context, CancellationToken cancellationToken)
+    {
+        var content = await _inner.ReadAsStreamAsync(cancellationToken).ConfigureAwait(false);
+        await using (content.ConfigureAwait(false))
+        {
+            await content.CopyToAsync(stream, cancellationToken).ConfigureAwait(false);
+        }
+    }
+
+#endif
+
+    protected override async Task SerializeToStreamAsync(Stream stream, TransportContext? context)
+    {
+        var content = await _inner.ReadAsStreamAsync().ConfigureAwait(false);
+#if NET5_0_OR_GREATER
+        await using (content.ConfigureAwait(false))
+#else
+        using (content)
+#endif
+        {
+            await content.CopyToAsync(stream).ConfigureAwait(false);
+        }
+    }
+
+    protected override bool TryComputeLength(out long length)
+    {
+        length = 0;
+        return false;
+    }
+
+    protected override void Dispose(bool disposing)
+    {
+        base.Dispose(disposing);
+
+        if (disposing && !_disposed)
+        {
+            _disposeAction();
+            _inner.Dispose();
+            _disposed = true;
+        }
+    }
+}