It's totally normal and the other dogs will tell him when to stop. If they genuinely seem distressed, you can distract the puppy away, but don't punish him for it. My 5 year old and his sister who play together regularly will often stand and lick each others' muzzles in between playing strenuously -- it's a calming signal, especially from puppy to older dog. It says "No harm meant, I'm just little old me."
With the older staffie, see if you can coax them apart and watch if the staffie takes the opportunity to get away and get some peace, or comes back to initiate play. If the staffie still seeks out the puppy's company, let them play away. Sometimes much older dogs (or quiet submissive dogs) do need a break from an obnoxious puppy because they can't for whatever reason deliver the proper correction.
In the next couple of months the older dogs will start teaching lessons they've let slide for a while. As your pup gets older, what's "cute" and tolerable to the older dog will fade away and they'll lay down the law.
If you see the older dog snarl and snap at the puppy, don't panic -- watch the puppy's reaction. Assuming the puppy isn't concerned about the correction, there's no need for you to be concerned, either. If the puppy contiunues to bounce right back in the older dog's face and the older dog gets increasingly more severe in its corrections, break up the play session.
But a good snarling/growling "back off, you obnoxious puppy!" lesson is a Very Good Thing.