The midlands outfit completed a 4-1 win over Sutton on Saturday and will face the winner of the replay between League Two County and Conference rivals Braintree for a place in the hat when the Premier League and Championship clubs enter the fray.
Fellow fifth-tier pace-setters Cambridge will host League One Sheffield United if they overcome Bury in their rescheduled clash while Tamworth, who shocked Cheltenham in round one, host struggling Bristol City.
Shortwood, the lowest-ranked team left in the competition, will play host to Salisbury if they can overcome Port Vale on Monday night while Stourbridge have been handed a tougher test as they travel to Stevenage.
Lincoln City can set up an all non-league clash with Welling at Sincil Bank if they beat Plymouth in a replay while Wrexham will face Oxford or Gateshead and Brackley will travel to Macclesfield if they beat Gillingham at the second attempt.
In the remaining non-league interest, Dover face a tough trip to MK Dons, Grimsby will host Northampton if they overcome Scunthorpe in a replay and Boreham Wood will host Brentford if they overcome Carlisle.
The ties will be played over the weekend of November 7 and 8.