City earned a comfortable 4-0 victory over Chelsea in the third round on Sunday, with the winner drawn to play either Arsenal or third-tier side Oxford United.
Elsewhere, Manchester United will host Reading — meaning a return to Old Trafford for Reading manager Paul Ince, who played for United between 1989 and 1995.
Sheffield Wednesday, who pulled off the biggest shock of the third round by beating Newcastle United 2-1, will host Fleetwood Town, while Tottenham face a trip to Preston North End.
Wrexham, who are owned by Hollywood stars Ryan Reynolds and Rob McElhenney, claimed an upset 4-3 win over Coventry City on Saturday, earning a place in the fourth round where they will face Championship side Sheffield United.
Information from Reuters contributed to this report.
FA Cup fourth round draw:
Manchester City vs. Oxford or Arsenal
Manchester United vs. Reading
Preston North End vs. Tottenham
Southampton vs. Blackpool
Brighton vs. Liverpool or Wolves
Fulham vs. Sunderland
Boreham Wood or Accrington Stanley vs. Cardiff City or Leeds United
Wrexham vs. Sheffield United
Ipswich Town vs. Burnley
Luton or Wigan vs. Grimsby Town
Derby County vs. West Ham United
Stoke City vs. Aston Villa or Stevenage
Blackburn Rovers vs. Forest Green or Birmingham City
Walsall vs. Leicester City
Sheffield Wednesday vs. Fleetwood Town
Bristol City or Swansea vs. Chesterfield or West Brom