The current defending champions of the national competition will take on the shock winners in 2013, while Chelsea face Brentford and Tottenham take on Wycombe
Manchester United have been handed a home draw against Championship side Wigan Athletic in the fourth round of the FA Cup.
The Red Devils are looking to defend the trophy they won for the first time since 2004 last year and saw off second-tier opposition in Reading in their first match of this year's competition.
They will now take on the Latics, who were promoted to the Championship last season and are struggling in 23rd place, with just four league wins to their name.
Wigan, the shock winners of the FA Cup in 2013, were able to see off fellow Championship side Nottingham Forest to reach the fourth round.
Chelsea are also at home and will host a west London derby against Brentford, while Arsenal will visit the winners of the replay between Norwich City and Southampton.
Tottenham will welcome League Two side Wycombe Wanderers, and Manchester City could face Premier League opposition if Crystal Palace win their replay against Bolton Wanderers.
Liverpool will have another home tie against Wolves to look forward to if they can see off Plymouth away from home.
Premier League champions Leicester City, meanwhile, will have to overcome a Midlands rival in Derby County to reach the fifth round.
The fourth-round draw in full:
Tottenham Hotspur v Wycombe Wanderers
Derby County v Leicester City
Oxford United v Newcastle United or Birmingham City
AFC Wimbledon or Sutton United v Cambridge United or Leeds United
Plymouth Argyle or Liverpool v Wolverhampton Wanderers
Southampton or Norwich City v Arsenal
Lincoln or Ipswich v Brighton
Chelsea v Brentford
Manchester United v Wigan Athletic
Millwall v Watford
Rochdale v Huddersfield Town
Burnley or Sunderland v Fleetwood Town or Bristol City
Blackburn Rovers v Barnsley or Blackpool
Fulham v Hull City
Middlesbrough v Accrington Stanley
Crystal Palace or Bolton v Manchester City
Ties will be played between January 27 and 30.