The musical, according to London's Daily Mail, will be Hytner's first project when he steps down as the artistic director of the National Theatre next year. Playwright Lucy Prebble, whose plays include Enron and The Effect, has written the new adaptation of the opera, shifting the story's setting from Seville to Cuba.
A reading of the revised version was held last weekend.
A timeline for the production has yet to be announced, although the Daily Mail says a London bow in 2016 is expected.
Hytner's final production at the National will be Tom Stoppard's The Hard Problem, which begins performances Jan. 21, 2015.