Leeds will make their first ever trip to City's Deva Stadium in the Carling Cup first round in the week commencing August 11.
Hughes said on Leeds' official website: "Obviously it is a great draw for Chester because they are at home, and you always want a home tie. But I have been there a few times with previous clubs I have been at and it is a cracking little stadium to play at. It should be a good game for Chester, and for us because it will give the manager a chance to have an early look at his squad."