Listen to I've Got You Under My Skin online. I've Got You Under My Skin is an English language song and is sung by Al Goodman and His Big Band Of Swing. I've Got You Under My Skin, from the album Vintage Dance Orchestras No. 182 - EP: Música De Cole Porter, was released in the year 1958. The duration of the song is 2:22. Download English songs online from JioSaavn.