According to the latest internet rumors, there's a hot new Hollywood couple. Sources told Heat magazine (via The Independent) that "The Hunger Games" costars Jennifer Lawrence and Liam Hemsworth have been getting a little cozy.

The two - who play Katniss Everdeen and Gale Hawthorne, respectively - are both newly single and have  been reportedly leaning on each other for support.

"They intend on keeping things very low-key so they can both see where fate takes them," a source told Heat magazine.

Late last year, Hemsworth ended his engagement to pop star Miley Cyurs and Lawrence broke up with her boyfriend, Nicholas Hoult. It was rumored that the actress had a brief fling with Coldplay's Chris Martin but the romance fizzled out in October.

"They've always had insane chemistry, but they've never been single at the same time before. In fact, when they first met on the set of 'The Hunger Games,' Liam's then-fiancee Miley Cyrus flew out, possibly to keep an eye on them, I think, because she was jealous," the source claims. "Jen and Liam have been friends for years and she's always confided in him about the drama in her love life. She's really leaned on him during all the drama with Chris."

According to Heat, Lawrence invited Hemsworth over to her Los Angeles house so they could talk about their "Hunger Games" media tour and the conversation turned a little personal.

"Jen started pouring her heart out about Chris and things got personal. Liam knows Jen loves koala bears so, the next day, he had an enormous stuffed toy koala sent to Jen with a note saying, 'Hold out for the perfect man,'" the source said.

Reportedly, the two are not ready for a full-fledged relationship and want to take things very slow.