Eggs are good as a treat every now and then. I have a 6 pound dog and an almost 5 pound dog and I'll make 2 eggs for them to share. This weekend Nala (the 6 pounder) at the entire plate and Bandit ate nothing lol. Carrots are also great treats!
Just a word of caution, vets don't have a lot of training in nutrition- there's a lot of people on here with more knowledge about nutrition if you wanted to research around. That's what I did when Bandit kept having stomach issues with his food.
Does anyone elses pups get the "egg farts"? My egg gobbler does!

