Yes. Low to the ground, long backed breeds should be kept on the slimmer side to help prevent leg and most importantly back problems. I have seen adult Bassetts in the weight range of 40-80 lbs depending on how big structure wise they are. 40 lbs at only 4 months of age IMO is too heavy. Being a hound they live to eat but that doesn't mean they have to be given food everytime they want it.