They certainly would make an adorable couple. Jennifer Aniston may or may not still be dating Vince Vaughn, but a new report set for this week will make the claim that she is being pursued by People Magazine's sexiest man alive Matthew McConaughey.

Jennifer Aniston and Matthew McConaughey?

Whew - that should stir things up in Hollywood.

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Newly single Matt is out of his relationship with Penelope Cruz and reportedly while she was off doing some Suri spotting for ex-boyfriend Tom Cruise, he was picking up the phone and calling Jennifer.

Star Magazine reports this week that Jen recently turned him down-gently after his inquiry but they report Matt is not giving up so easily.

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"When Matthew called, the source tells Star, “Jen told him she was flattered, but she didn’t think it would be right to go out with Matt While she’s dating Vince."

A friend of Matt’s then tells Star Magazine, “He doesn't give up when he has his eye on someone. He’s figuring out his next move.”

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There have been numerous reports that Vince and Jen are having troubles, but remember they have yet to even really confirm they are dating.

Cue the rep™: Star reports that Jen’s rep denies that Matthew called her.

But wow - what a gorgeous couple they would make.

--Angela Carson writes from Vancouver