I say if you like them, try it out! Ask them why.

I had people interview, I accepted another family, that family didn't work out for me, and their new provider called them the first day and said that the baby wouldn't stop crying and she'd no longer provide care. I got a frantic call from mom at 2pm, and baby started with me at 8am the next morning. Baby and parents are all AWESOME. It can work out.