The Hartlepool tie is scheduled to take place at the Northern Commercials Stadium and must be completed by no later than Saturday 5 November 2016.
The two sides have met once before already this season, City defeating Hartlepool 3-0 at Apperley Bridge just last Saturday in an EFL Youth Alliance fixture.
The Bantams lost out on penalties to Sheffield United in last season's first round following a goalless encounter at Bramall Lane.