The Bantams' apprentices will entertain Boston on Tuesday 15 November 2016 at the Northern Commercials Stadium - kick off 7:45pm.
Admission prices will be £3.00 for adults and £1.00 for all concessions (under 16s, over 60s, students).
Supporters will be able to pay on the turnstiles on the night. The lower tier of the JCT600 Main Stand will be open on an unreserved basis.
City's scholars booked their place in the second round thanks to a 1-0 home win over Hartlepool United at the start of the month.
As a result of City's FA Youth Cup tie with Boston, the club's Central League reserve fixture with Port Vale will now be rearranged for a new date.