Yes, as @
2BullyMama says, I just had a baby and also have one rambunctious 3 year old bully.
I was deeply concerned he would rough house with the baby and, honestly, I couldn't have been more wrong. Part of it, I think, it is to remember your bully takes his cues off of you, so if you are tense and worried, he or she will sense something is up and respond in kind.
For me, I waited an extra day after I brought my baby home to pick up my bully, to get mentally in the right place. I allowed my bully full access to the baby right off the bat because I figured restricting him would only make him more curious. Of course I had to be extremely observant and remind Truman to be gentle but I truly believe communication happened between the baby and Truman because it wasn't long before I trusted him COMPLETELY with my son. He is only 5 weeks old and I don't worry about putting him on the couch with the dog or in a baby swing, within dog's reach.
But I think the key in all of it was approaching it with relative ease, semi-free access, and remembering the dog will take his cues from you.
I hope that helps!