City were 5-1 victors at Eastlands in October, but will give up home advantage as they travel to Glanford Park on the weekend of January 23/24.
Preston North End's 7-0 demolition of Colchester United on Saturday was rewarded with a home tie against holders Chelsea.
Draw in full: Southampton v Ipswich Town; Reading or Liverpool v Burnley; Millwall or Derby County v Brentford or Doncaster Rovers; Bristol City or Cardiff City v Leicester City; Stoke City v Arsenal; Notts County or Forest Green v Wigan Athletic; Scunthorpe United v Manchester City; West Bromwich Albion v Plymouth Argyle or Newcastle United; Everton v Nottingham Forest or Birmingham City; Accrington Stanley Gillingham v Fulham; Bolton Wanderers v Sheffield United or Queens Park Rangers; Portsmouth or Coventry v Sunderland; Preston North End v Chelsea; Aston Villa v Brighton & Hove Albion; Tranmere Rovers or Wolves v Crystal Palace; Tottenham Hotspur v Leeds United.