The health depends more on the breeding then it does size IMO. Georgie tips the scales at 4lbs and has had issues. I don't believe his issues are always related to his size but I do think the worry that I have is. Georgie can't miss a meal even at almost 7 I worry since he is so small. I would say as long as you feel the breeder is reputable then go for it! Georgie is a lot of love and fun in his small little package