According to BBC News

British actress Carey Mulligan is set to play Eliza Doolittle in a remake of My Fair Lady, according to the film’s writer Emma Thompson.

Speaking to BBC 5 Live at the premiere of her latest movie Nanny McPhee, the star said they have yet to cast the male lead of Henry Higgins.

It has been reported that Hugh Grant is linked to the role.

Thompson said that she would “love him to do it”, but added nothing had been confirmed yet.

UPDATE

Emma Thompson confirmed that Carey Mulligan had the part in Today’s Andrew Marr Show