Baby due any day, father has bad cough

🌟🌛Tabi🌜🌟

So I'm about ready to pop. The father of my baby has a really bad cough, he's been coughing up mucus and stuff. Gets really bad coughing fits. He hasn't gotten me sick, but I'm not sure if that means he isn't contagious. What do we do for the baby? We've both had our TDaP and he will obviously be washing his hands a lot, and I'll be breast feeding. But beyond that, how safe is it for him to be around the baby?