Phil Parkinson’s side will travel to Bootham Crescent for a 7.45pm kick-off in the first round tie.
Ticket details for the tie against the 2013 finalists have also been agreed between the two clubs.
Adult prices have been set at £15 to sit or stand in any of the three home sections of the ground, with the same conditions applied to concessions who will be charged £10. Under-5s are free.
Disabled supporters will pay the appropriate rate with their carer able to gain free entry as long as they are in receipt of middle or higher DLA/PIP.
An announcement of how and when tickets will go on sale will be made later.