The 33-year-old beauty, who has eight-year-old daughter Matilda with her late ex-fiance Heath Ledger, was first romantically linked with the artist when they were spotted holding hands in May 2013 after the Met Gala, reported Us magazine.
Though it is unclear when they split, Dustin did not appear to be with the actress when she and her 'Cabaret' crewmates celebrated the Broadway production's opening night last month.
He was not by her side at the Metropolitan Museum of Art for this year's Met Gala earlier this month.