The story of how a supermodel turned singer came to conquer the heart of a rightwing head of state may sound far-fetched enough for any romantic comedy.

Now Carla Bruni, the wife of the French president, Nicolas Sarkozy, has the chance to bring her life experience to the big screen after agreeing to a request from Woody Allen to appear in his next film.

France's first lady, appearing on television last night to perform a cover of the Beatles' And I Love Her with the US entertainer Harry Connick Jnr, said Allen had asked her to work with him after a visit to Paris in June.

"Woody Allen kindly asked me not to do a film with anyone else before him," she said, admitting that she had said yes. She did not give any details of the role intended for her.

"If anything concrete ever comes of it, it would be a great experience for me," she added.

The 42-year-old Bruni, who married Sarkozy two months after meeting him at a dinner party in Paris, added: "I go into everything blindly, or I'd never do anything at all."

Known for her modelling – a nude photograph taken in 1993 sold for €6,000 (£5,400) yesterday – and her subsequent music career, Bruni has never completed her showbusiness repetoire with a part in a movie.

"I am not an actress at all," she said on Canal+ television. "Maybe I'll be completely hopeless, but I can't miss an opportunity like this one in my life.

"When I'm a grandmother, I'd like to be able to say I made a film with Woody Allen."