Shop by Dog Designer dogs may look fashionable in dog carrier purses, they may not always be warm to the idea of riding in such a small space next to your shoulder. Forcing a dog to ride in a dog carrier can have dangers. Rather than forcing your dog, make small transitions so your dog feels comfortable coming with you everywhere. If it’s difficult to get your dog to ride in the dog carrier purse, here are some tips to make this transition from riding in your lap or car to riding in your purse.