Has Ben Affleck been caught getting cozy with Sienna Miller on the set of their new movie, Live By Night?

Following rumors regarding a possible romances with both Halle Berry and Kate Beckinsale, as well as a potential reconciliation with Jennifer Garner, the mother of his three children, Affleck has been linked to a fourth actress.

“Ben’s had Sienna in his sights for a while,” an insider revealed to OK! Magazine on Wednesday. “They’re really flirty on set.”

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Since splitting from Garner earlier this year, Affleck has been linked to a number of women, but after photos surfaced of him and Miller kissing on the set of their upcoming movie, the rumor mill was kicked into overdrive.

However, while Affleck and Miller clearly have chemistry with one another as they film the movie, the OK! source claimed Affleck wasn't looking for a relationship.

“Right now Ben just wants to keep things casual so he can concentrate on his children,” the source said. “He’s not looking for anything serious.”

During an interview with Rachael Ray just weeks ago, Miller gushed about her co-star, Affleck, claiming he was a "very sweet person" and "fantastic" in the movie.

For more of Miller's interview on The Rachael Ray Show, check out the clip below.

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Ben Affleck, Sienna Miller