A date has yet to be confirmed for the tie, but the fourth round of the competition takes place over the weekend of January 26/27.
Leeds and Birmingham drew 1-1 at Elland Road in the third round on Saturday and face a replay at St Andrew's on Tuesday, January 15.
We beat Coventry City 3-0 in the third round at the Lane on Saturday.
FA CUP, FOURTH ROUND IN FULL...
Norwich City v Luton Town
Oldham v Mansfield/Liverpool
Macclesfield v Wigan/Bournemouth
Derby v Blackburn
Hull/Leyton Orient v Barnsley
Middlesbrough v Aldershot
Millwall v Aston Villa
LEEDS/BIRMINGHAM v TOTTENHAM HOTSPUR
Brighton v Swansea/Arsenal
Crystal Palace/Stoke v Manchester City
West Ham/Manchester United v Fulham/Blackpool
Southend/Brentford v Chelsea
Reading v Sheffield United
Huddersfield v Leicester City
QPR/West Brom v Sheffield Wednesday/MK Dons
Bolton/Sunderland v Cheltenham/Everton
Fourth round ties played over the weekend of January 26/27.