Chelsea travel to Manchester City in the pick of third-round ties at the Etihad Stadium on Sunday. Arsenal travel to League One side Oxford on Monday night.
Tottenham have been drawn away against Championship side Preston.
West Ham are away at Derby, Fulham host Sunderland and Manchester United are at home to Reading.
National League side Boreham Wood will face Cardiff or Leeds if they beat Accrington in a third-round replay.
The 16 ties will take place between January 27-30.
FA Cup fourth-round draw in full
Preston North End v Tottenham
Southampton v Blackpool
Wrexham v Sheffield United
Ipswich Town v Burnley
Manchester United v Reading
Luton or Wigan v Grimsby Town
Derby County v West Ham United
Stoke City v Aston Villa or Stevenage
Blackburn Rovers v Forest Green or Birmingham
Walsall v Leicester City
Sheffield Wednesday v Fleetwood Town
Manchester City or Chelsea v Oxford or Arsenal
Bristol City or Swansea v Chesterfield or West Brom
Brighton v Liverpool or Wolves
Fulham v Sunderland
Boreham Wood or Accrington Stanley v Cardiff or Leeds
