Antonio Fontana answered 2/9/2011 What Is The Average Weight For A 13 Week Old Pitbull? If your 8 week old pitbull puppy weighed 15 plus lbs, congratulations you own an AM Bully. Not an American Pitbull Terrier. If your 8 week pitbull puppy weighed more than 20 lbs, you have a baby rino and not a real APBT. Crossed bred mutts.