We are building a highly concurrent web application, and recently we have started using asynchronous programming extensively (using TPL and async/await
I had this problem. Although, I haven't fully tested yet, using CopyToAsync instead of ReadAsStringAsync seems to fix the problem:
var ms = new MemoryStream();
await response.Content.CopyToAsync(ms);
ms.Seek(0, SeekOrigin.Begin);
var sr = new StreamReader(ms);
responseContent = sr.ReadToEnd();