Listen to I Should Care online. I Should Care is an English language song and is sung by Lennie Niehaus Quintet. I Should Care, from the album The Legendary Music of Billie Holiday, The Mills Brothers, Louis Armstrong, Bessie Smith and Other Hits, Vol. 3 (160 Songs), was released in the year 2013. The duration of the song is 3:17. Download English songs online from JioSaavn.