The mystery woman seen around New York with Owen Wilson has now been identified: She is model Le Call.

“She is dating him,” an insider tells PEOPLE.

Though there had been speculation – after the two were spotted together on Manhattan’s Lower East Side and in Texas – that Wilson and Jessica Simpson were an item, the New York Post’s Page Six reports that on Saturday Le Call and the Wedding Crashers star attended a private dinner for English artist Damien Hirst and, early in the week, also practiced yoga together in a downtown studio.

When asked about a possible relationship between Wilson and Le Call (who, despite the name, is American born), a rep for One Model Management told PEOPLE, “Le Call has no comment.”

But, a source close to the couple said on Monday, “Le Call is totally overwhelmed by all of this attention. She isn’t used to it. So they will be leaving town tomorrow to escape – and traveling a great distance.”

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