Sex and the City 2 hasn't even hit theaters, and there are already rumors Carrie, Samantha, Miranda and Charlotte are coming back for a third.

Not so fast.

"This is not true," a New Line Cinema rep tells

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According to the UK Sun, the studio wanted to move quickly to film a third flick before the Sarah Jessica Parker, Kristin Davis, Kim Cattrall and Cynthia Nixon got too old.

"It's under wraps for publicity reasons," the paper quotes an insider saying. "It makes sense to film the second and third movies back-to-back... They're keen to look as young as possible because that movie will be their last."

SATC 2 hits theaters May 28.