Listen to Deep Sleep Baby online. Deep Sleep Baby is an English language song and is sung by Sleep Lullabies for Newborn. Deep Sleep Baby, from the album 111 Sleep Music for Newborns: Calming & Soothing Sounds for Babies, Sleep Aid for Trouble Sleeping, Peaceful Baby Dreams, was released in the year 2017. The duration of the song is 3:38. Download English songs online from JioSaavn.