As stated, I would never leave him alone around the pups, or let the pups play with each other while he is around (it gets rough).
If the baby is not here yet, then take some time to research prepping a dog for a baby.
Some things we did, were not give them all of out attention like they were use to getting, playing crying baby clips off youtube, setting baby things (swing, bouncer, ect) up, washing baby clothes, letting them smell the detergent scent, and letting them get use to those things pre baby. We would walk them with an empty stroller, and carry a baby doll around the house, sitting with it, rocking it, setting it down in the equipment, so they would get use to seeing us with it and dicipline as need when they tried to lick in the face, paw, ect.
We set the boundries pre baby, so most of it was maintance when the baby got here.