This is a computer model and hasn't been peer-reviewed yet. It demonstrates a virtual die and shows how it could spread based on modeling of loop currents connecting to Atlantic flows. The oil could go up to North Carolina at a rate of 100 miles a day before it hits the eastern flow into the Atlantic.
http://www.wired.com/wiredscience/2010/06/gulf-oil-could-spread-to-atlantic-coast/
http://www.wired.com/wiredscience/2010/06/gulf-oil-could-spread-to-atlantic-coast/