Listen to Don't Worry 'bout Me online. Don't Worry 'bout Me is an English language song and is sung by Frank Sinatra. Don't Worry 'bout Me, from the album 100 Frank Sinatra Essentials for Jazz Lovers (My Christmas Gift for You, Deluxe Edition), was released in the year 2012. The duration of the song is 3:14. Download English songs online from JioSaavn.