Listen to I Should Care online. I Should Care is an English language song and is sung by The Modern Jazz Quartet. I Should Care, from the album The Best Music Collection of The Modern Jazz Quarte, Duke Ellington, Gerry Mulligan and Other Famous Artists, Vol. 9 (160 Songs), was released in the year 2013. The duration of the song is 5:24. Download English songs online from JioSaavn.