Keep in mind there is a cosmetic bronzer that may appear on clothes before you take initial first shower. After that first shower and once your tan is fully developed you do not need to worry about your tan transferring.
With that being said, if your dress is tight and rubs in areas there may be possibility of a light transfere but this is nothing a dry cleaner cant fix. (I have tips for this situation so if your dress may rub let me know at your apt and we can discuss some tips/tricks to help)