Listen to Sing Me a Swing Song - 1 online. Sing Me a Swing Song - 1 is an English language song and is sung by Benny Goodman and His Orchestra. Sing Me a Swing Song - 1, from the album Before Christmas (Peek & Seek Until Christmas Morning), was released in the year 2016. The duration of the song is 2:20. Download English songs online from JioSaavn.