Following the 3-0 defeat of Watford, City have been drawn away to the winner of the replay between Crystal Palace and Stoke.
The two sides drew their third round tie at Selhurst Park 0-0 and will play again at the Britannia Stadium to determine who progresses.
City have had plenty of troubles of late away to Stoke whilst Palace have performed well in the Championship this season and Roberto Mancini will undoubtedly have much preferred the tie at The Etithad.
Full fourth-round draw:
Norwich City v Luton Town
Oldham Athletic v Liverpool
Macclesfield Town v Wigan Athletic/Bournemouth
Derby County v Blackburn Rovers
Hull City/Leyton Orient v Barnsley
Middlesbrough v Aldershot Town
Millwall v Aston Villa
Southend United/Brentford v Chelsea
Reading v Sheffield United
Huddersfield Town v Leicester City
QPR/West Bromwich Albion v Sheffield Wednesday/MK Dons
The ties will be contested over the weekend of 26 and 27 January.