Listen to Asleep on a Blanket online. Asleep on a Blanket is an Instrumental language song and is sung by RelaxMyDog, Dog Music Dreams and Dog Music. Asleep on a Blanket, from the album Relax Your Dog: Calming Sleep Therapy Music for Pets, was released in the year 2021. The duration of the song is 3:01. Download Instrumental songs online from JioSaavn.