First we caught Lady Gaga flaunting running a few errands in Malibu, and the next thing you know, she's cruising around town in a vintage Bronco with none other than Bradley Cooper!

But don't go starting the dating rumors just yet. Gaga and Cooper will co-star in the remake of the classic film A Star Is Born, which is one he will also direct. The two were spotted hanging together in April when contract negotiations were still going through, and while a romantic relationship is not out of the question, for now it seems as though the two are keeping things strictly professional. After all, how would her former fiance Taylor Kinney feel about that? It was just last month that the two called off their engagement...

Gaga, who will also be writing and performing new music for the film, recently tweeted about her involvement in the project and wrote, "I'm elated to be directed by & starring w/Bradley in this project. He's a brilliant visionary artist #AStarIsBorn #AStarIsBornCooperGaga." We want to go to a Labor Day party with these two!