It will be City's first visit to the new 27,500-capacity stadium, and will be hoping for a repeat of the 4-1 win on the first day of the league season at the KC Stadium.
In the LDV Trophy competition last season, City fell at the first hurdle when a weakened side lost 3-1 at Port Vale. Darlington also went out in the First Round with a 1-0 defeat at Stockport County.