How do you stop your infants hair from falling out in the spot where they sleep?

My daughter was born premature and is almost 2 months, she has pretty brown hair, but I noticed this morning that a small bald spot is kinda starting where she lays, I guess she is always on her head, in her bouncer, swing, and binet. Except when we are holding her ofcourse, but how can I stop it from falling out there?