Actress and her man are getting married
The couple, who met on set of 2007 film Evening, have been dating for just over a year.
Earlier this month, Hugh, 33, admitted he’d like to star in another movie with Claire, 29.
‘Never say never,’ he tells Us Weekly. ‘There’s no list of people I wouldn’t work with, up to and including Claire.
‘Obviously, I respect her as an actress immensely.’
Hugh’s latest flick Confessions Of A Shopaholic is out on 20 February.