Muscle repair question

When you're ripping your muscles with strength training, do you have to be asleep to Rest them? I have a 4 1/2 month old, and I'm pretty sure I'm not getting the sleep I need for muscle repair. Can I just lay in bed totally limp? I don't want to overwork them.. but I don't know how bad that is.. anyone know? Help, tips, advice would be awesome. I'm currently doing p90x.