The tie is expected to take place at Bramall Lane and must be played by Saturday 7 November 2015.
The Bantams reached the FA Youth Cup third round last season, eventually losing 2-0 at Liverpool.
City defeated Scunthorpe United and Barnsley in the first and second rounds respectively to earn their date with the world famous Merseyside club.
After winning the Football League Youth Alliance North East Division title two seasons on the trot, City's apprentices are once again top of the league standings after five wins from their opening six games.