Do Pitbulls get alongwith Lhaso Apso's?

My step son is giving us a red nose pitbull from his litter. We already have a Lhaso Apso, Gizmo that I have had for 6 years. He is my life. I'm not sure that the dog will not hurt or kill my Gizmo. Is this a possiblity in the future even though we are getting him as a puppy in a few weeks. Gizmo on the other hand is going to have alot of attention to let him know he is still loved of course. Any suggestions out there.