The video for Tony Bennett and Lady Gaga's duet, "The Lady Is A Tramp," has hit the web!

Similar to his video with Amy Winehouse, the vid shows Tony and Mother Monster singing in studio. It's the most "normal" we've seen Gaga in a while! Guess she couldn't bring herself to wear a meat dress around the iconic Tony ...

But, she does look cute in a long, vampy dress -- and we love her retro vocal stylings!

The album, Duets II, has given Bennett his first-ever No. 1 on the BIllboard music charts.