Ben Affleck and Sienna Miller Dating?: Spotted Holding Hands [VIDEO]

Rumors are circulating that Ben Affleck and Sienna Miller may be dating. The duo are co-starring in the movie Live By Night in Los Angeles, but were photographed holding hands and flirting when the cameras were not rolling. Are the newly single actors dating or hooking up?

OK! magazine reports Affleck has been getting close to the pretty 33-year-old blonde on the set of their film.

A source told the publication, "Ben’s had Sienna in his sights for a while. They’re really flirty on set,. Right now Ben just wants to keep things casual so he can concentrate on his children. He’s not looking for anything serious."

Affleck and Jennifer Garner announced their divorce in June after 10 years of marriage, with rumors that the Batman V. Superman: Dawn of Justice star cheated with the nanny of his three children, Christine Ouzounian.

The former couple have three children together: Violet, 10, Seraphina, 6, and Samuel, 3.

Miller also ended her engagement to Tom Sturridge in June, after four years of dating. Miller has a daughter named Marlowe from her relationship with the actor.

She spoke to British Vogue about being a mother, stating, "I'd like to be better at managing things; I'd like to be more super -- although we're never going to feel it, even if we are. That's the curse of motherhood -- we just run ourselves ragged. I'm just trying to get a sense of what that guilt is. I sometimes feel like it's a totally invented emotion. It's strange to be punishing ourselves this way. It's not healthy."

Affleck and Garner's marriage appears to be over, but Radar Online recently posted photos of the 43-year-old Daredevil actress with what appears to be a "baby bump".

Garner was photographed on her way to church with Affleck's mother Sunday.

People magazine has reported that rumors of an off-screen romance between Miller and Affleck are false.

The publication's source said, "He has had some special scenes with Sienna, including kissing scenes. They seem to get along great, but Ben has acted very professional. There are no signs of a romance between them."