My pitties are very senisative to me. They have bond with my family very much. If I am having a down day I have one that will sit with me in my crying chair. But I can be on the couch and she will come if I am crying. If I am happy she will pick on me like a teenager. they can sense alot of things.
I had a mutt that would sleep on my stomach thru both pregnancies. They are part of our pack. Enjoy it your puppy is bonding with your child already. Your child has a best friend.