Sienna Miller & Tom Sturridge: Chicago Couple!

Sienna Miller (in a Tucker dress) and her new beau Tom Sturridge pick up a twelve pack of Miller High Life beer on Wednesday (June 29) in Chicago, Ill.

The evening before, the 29-year-old actress and the 25-year-old actor caught a performance of the Broadway bound play Chinglish at the Goodman Theatre.

Sienna is currently in Chicago preparing for her role in the film Just Like a Woman.

The film is about a Chicago housewife who transforms into a belly dancing teacher who enters a dancing competition in Las Vegas.