Maggie has been playing with a Pit puppy, a month older than she for months now in the park. I know "Juno's" owners and Juno is a very well behaved, obedient little dog. Sweet as she can be. Maggie and Juno have wonderful times together wrestling and chasing balls and each other. There have been no problems between them at all.
I'm very cautious about letting Maggie play with Pits. But I am very glad she has Juno as a friend and they are well socialized together. But unless I know the dog and the owners, I usually avoid letting Maggie play with other Pits in the park.
I'd say yes, definitely let them play (very well supervised however) and hopefully they will become good friends like Maggie and Juno and you won't have any worries at all.
Good luck.