Many small dogs will be okay after eating a bag or two of treats, but if your pup is overweight or obese, he may want to avoid eating large amounts of treats in one sitting. Overweight and obese dogs can develop health problems if they consume too many calories from treat-based foods. Also, many treats contain unnecessary calories and other nutrients that can be harmful to your dog's health over time. Talk to your vet before giving your pup any large bags of treats.