The current version does not really. You can override it to turn on CURLAUTH_NTLM, but I have no idea if that's sufficient. I personally never used NTLM, so I don't have a good grasp on what the requirements are.
The new version of the client (unreleased) will allow you to pass any curl setting. So if you are able to use NTLM auth using just curl, I can also show you an example of how this would work with the client.