FTD, flight training device, like the one you're working in. There is no difference between the FTD and the airplane. In the FTD, you are getting no information about your orientation from motion...same with the airplane.
I do have a question that I'm worried about. Are you assuming that as you practice more that what you feel will become more reliable? Because it won't. Even if it does, you should ALWAYS ignore what you are feeling, just like you are in the FTD.
Also, a word on the fellow who mentioned studying the common illusions. Yes, that may be helpful so that you can understand what is happening, but I do not think its a good idea to memorize these. Again, whatever your body is telling you, ignore it, no matter how correct it is or how you feel like you may be able to compensate for it.
Your feelings are unreliable, PERIOD.