Listen to Too Busy Thinking About My Baby (Originally Performed by Marvin Gaye) [Karaoke Version] online. Too Busy Thinking About My Baby (Originally Performed by Marvin Gaye) [Karaoke Version] is an English language song and is sung by The Karaoke Crooning, Swing and Jazz Band. Too Busy Thinking About My Baby (Originally Performed by Marvin Gaye) [Karaoke Version], from the album Karaoke - The Crooning, Jazz and Swing Collection, Vol .4, was released in the year 2014. The duration of the song is 3:19. Download English songs online from JioSaavn.