Listen to My Baby Just Cares for Me online. My Baby Just Cares for Me is an English language song and is sung by Jazz Playlist Masters. My Baby Just Cares for Me, from the album Top 100 Jazz Classics Playlist - Over 5 Hours of the Best Timeless Classic Jazz Ever! Perfect for Chilled Dinner Parties, was released in the year 2014. The duration of the song is 3:34. Download English songs online from JioSaavn.