Has Katie Holmes moved on? Well maybe and maybe not...

It's a tradition that dates back to the earliest days of showbiz: When you have a project to promote, stir up a little romantic intrigue. Katie Holmes' new Broadway show, "Dead Accounts," begins previews this week,

The New York Daily News says the former Mrs. Tom Cruise has a "not-so-secret admirer" in co-star Josh Hamilton (that's him on the left). A source claims that he's "really crushing on her and is making that clear to her every opportunity he gets. He's always nearby, in her face, during lunch, [and during] breaks."

That's probably not the best way to befriend a woman who supposedly had to use disposable cell phones to plot her divorce due to alleged day-to-day scrutiny by Cruise and his minions.

A rep for Holmes, 33, who recently shot down rumors linking her to actor Alex Schemmer, laughed off the romance rumblings. For now, the actress appears to be concentrating only on 6-year-old Suri and her work.

"She's really focused on her career and Suri right now," a source tells the paper. "She spends a lot of time at rehearsals, with her daughter, and at the gym. And that's basically about it. She'll get back to dating sooner or later. But it'll probably be later."

So I guess we'll have to wait and see what happenes, if anything.