My cat with my dogs pups. Should I be worried?

My 2 dogs bread and just had 6 adorable puppies. It was the first litter. Everything is fine, she is very good with interaction with us as well as daddy doggy with the puppies. We are not allowing them too much time together right now however. My concern at the moment however is I have a cat almost 7 years old. He has always been very good with both my dogs, however, should I be worried about him with the puppies? I had bread before, however did not have a cat at the time, which is where my concern comes from. Any comments would be greatly appreciated.