The tie, which will take place at the Coral Windows Stadium, is scheduled for a 7:00pm kick off.
The Bantams' youth team booked their place in the third round thanks to away wins at Scunthorpe United (2-0) and Morecambe (3-1) in the previous rounds.
City's apprentices are unbeaten this season in all competitions so far.
They currently sit top of the North East Football League Youth Alliance table having dropped just TWO points all season.
Along with their continued participation in the F.A Youth Cup, City's youngsters, who defeated Manchester United 3-2 in friendly fixture last weekend, also still remain in the Football League Youth Alliance Cup as well.
The club's main stand at Valley Parade will be open on an unreserved basis on the night for the Millwall tie. Entry prices are to be confirmed.