City have already knocked Chelsea out of England's other domestic cup this season with a 2-0 win in the Carabao Cup third round on Nov. 9.
Non-league Wrexham -- co-owned by Hollywood stars Rob McElhenney and Ryan Reynolds -- travel to Championship side Coventry City while Boreham Wood, the lowest-ranked team in the draw, are at home to League One side Accrington Stanley.
Chesterfield, who also play in the National League, drew a trip to Championship side West Bromwich Albion.
League Two side Stevenage are at Unai Emery's Premier League Aston Villa.
The third round -- the point where Premier League and Championship clubs enter the competition -- will take place between Jan. 6-9, with the final due to be held at Wembley Stadium on June 3.
Information from Reuters contributed to this report.