For other future users who do not want to make their controllers asynchronous, or cannot access the HttpContext, or are using dotnet core (this answer is the first I found on Google trying to do this), the following worked for me:
[HttpPut("{pathId}/{subPathId}"),
public IActionResult Put(int pathId, int subPathId, [FromBody] myViewModel viewModel)
{
var body = new StreamReader(Request.Body);
//The modelbinder has already read the stream and need to reset the stream index
body.BaseStream.Seek(0, SeekOrigin.Begin);
var requestBody = body.ReadToEnd();
//etc, we use this for an audit trail
}