Second half strikes from Jon Stead and Filipe Morais booked City's place in the draw, which will take place at the National Football Museum in Manchester.
As with the first round, the draw will be broadcast live on BBC 2 from 7:00pm.
Second round ties are scheduled to take place over the weekend of 6/7 December 2014.
Ahead of Monday's draw, Bantams boss Phil Parkinson said: "Ideally, we would want a home draw.
"We are one step away from that third round draw and everyone wants to be in that third round draw for the F.A Cup.
"We will enjoy the draw on Monday and then concentrate on the league before that second round match comes around."