Less than a month after it was revealed that Robert Pattinson was dating Dylan Penn, the couple might already be over.

According to an insider, the budding model may be ready to sever ties with the British heartthrob.

A source claims in the latest print edition of Us Weekly that despite being Hollywood offspring-- Penn's parents are actor Sean Penn and Robin Wright--she is unsure if she is ready to give up her privacy. She is aware of the what comes with dating someone who is constantly in the press.

"She doesn't want to be known as Rob's girlfriend," the source says. "She's afraid to get serious with him and lose her privacy."

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According to the insider, Pattinson is not worried about it because he doesn't want an exclusive relationship.

"Rob isn't ready to be exclusive with anyone right now," an insider says. "He's just enjoying himself."

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The report of Dylan's possible exit follows an earlier report that although Pattinson appreciates her because she has a great sense of humor and shares his passion for music, he decided he will take his time before jumping into a serious relationship again.

"Rob hasn't had such strong feelings for someone since Kristen," the insider told Hollywood Life. "But he's taking the relationship very slowly and wants to keep this new relationship out of the public eye. This really came out of left field for Rob - he wasn't looking or expecting any kind of long term romance."

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