It is not unusual at all for dogs to be fairly lively while asleep. Every dog owner is familiar with the noises, twitching and occasionally even waving of paws which accompanies their sleep sometimes. However, if you feel that your dog’s quality of sleep is being affected, perhaps she is over-anxious about something. Greyhounds are notoriously nervous animals. Perhaps there are herbal ‘sleep-better’ remedies which might suit your dog.