December 03, 2010 08:30 AM

Keith Urban, watch out: Nicole Kidman has her eyes on another man – her on-screen husband.

In Rabbit Hole – a drama based on a stage play and starring Kidman and Aaron Eckhart as a couple whose son had died in an accident – Eckhart, 42, sheds his shirt … and proves himself an exceedingly buff heartthrob.

At Thursday’s New York premiere, Kidman told PEOPLE that she “begged Eckhart to play opposite her,” saying he’d make a terrific husband on and off-camera.

RELATED: Aaron Eckhart Would Relocate for the Right Partner

“I think he would,” the Oscar winner, 43, tells PEOPLE. “Because he’s very loyal and because he has a strong moral center – and he’s fun.”

And Kidman’s not the only one smitten with Eckhart. Tammy Blanchard, who plays Kidman s sister in the film, says it was his “supportive” off-screen actions that won her over.

“He was very giving, and he asked [Kidman] if she needed anything or if she wanted anything when the camera wasn’t running,” Blanchard, 33, tells PEOPLE. “And that’s when you can tell when someone is very supporting and not selfish.”

Even Sandra Oh, who also plays Eckhart’s love interest in the film, thinks he’d make a good spouse. “Aaron’s mysterious and he’s complex, Oh, 39, tells PEOPLE. “He’s a very, very complex, deep, deep, deep lovely man.”

As for Eckhart – who last year was linked to actress-jewelry designer Molly Sims – well, he’s not so sure if he’s Mr. Right.

“I don’t really know,” he tells PEOPLE. “God, I’d be as good as anybody else – there are some terrible husbands out there.”

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