pooh not happy about the baby

Baby girl came home last week and Pooh has decided he is not happy. He sit on top of the baby crib every night like a guard dog, but he is a cat lol. The nurse said we should keep him away from the baby's face which is impossible because he is 5 and he loves sleeping close to people. I dont think he understands that this is his human now. Last night he woke up at 3am and knock over the bottle of milk on the floor, I think he did it on purpose. My mom says he is jealous, my husband says he is just annoying. Both are probably right. We let him sniff the baby blanket first and he seem calmer now, he even sleep next to the baby's chair during the day. Still need a lot of patience though, my hand have scratch from him twice already, ouch.