answered question 10/18/2008 My Puppy Is Twitching When Sleeping Breathing Heavier And Looks Like He's Grinding His Teeth. Does Anyone Have A Clue? I have a bet that your puppy is just having an especially vivid dream. My dogs have even growled in their sleep! Just wait and see if he does it a lot. I bet he won't but if he does then call the vet.