Holders Manchester City will face Fulham in the FA Cup fourth round.
The Championship side's reward for knocking out Aston Villa on Saturday is a daunting trip to the Etihad Stadium.
Liverpool will face lower-division opposition in the form of either Bristol City or Shrewsbury.
Should League One Tranmere get past Watford, having come from 3-0 down to draw at the weekend, they will host either Manchester United or Wolves.
Rochdale, who also secured a replay against a top-flight side, will entertain Oxford if they can finish the job against Newcastle.
Chelsea head to Hull, Leicester travel to Brentford and Tottenham, should they win their replay against Middlesbrough, will be away at Southampton.
Former West Ham manager Slaven Bilic will take his West Brom side to the London Stadium.
Arsenal will travel to Bournemouth while an all-Premier League showdown sees Norwich head to Burnley.
Sheffield will migrate to London for the weekend after United were drawn at Millwall while Wednesday landed QPR.
Northampton, the lowest-ranked side definitely through, host Wayne Rooney and Derby.
FA Cup fourth round draw
- Watford or Tranmere v Wolves or Manchester United
- Hull v Chelsea
- Southampton v Middlesbrough or Tottenham
- QPR v Sheffield Wednesday
- Bournemouth v Arsenal
- Northampton v Derby
- Brentford v Leicester
- Millwall v Sheffield United
- Reading or Blackpool v Cardiff or Carlisle
- West Ham v West Brom
- Burnley v Norwich
- Bristol Rovers or Coventry v Birmingham
- Manchester City v Fulham
- Rochdale or Newcastle v Oxford
- Portsmouth v Barnsley
- Bristol City or Shrewsbury v Liverpool
Ties to be played over the weekend of January 24-27.
Three notable ties
Manchester City v Fulham
Scott Parker's Fulham will take another break from the Championship promotion race to take on the holders at the Etihad. Fulham were good value for their third-round win over top-flight opposition in the shape of Aston Villa thanks to long-range efforts from Anthony Knockaert and Harry Arter. But they will probably need at least a couple more wonder-strikes if they are to cause a major shock.
West Ham v West Brom
Slaven Bilic will return to the London Stadium for the first time since he was sacked a little over two years ago. The Croatian has since guided West Brom to joint-top of the Championship, where they look primed to secure a return to the Premier League. Bilic will come up against the man who replaced him as Hammers boss, David Moyes, who is now back for a second spell in charge.
Northampton v Derby
The lowest-ranked team definitely through, Northampton can look forward to welcoming England's record goalscorer to their quaint Sixfields ground. Wayne Rooney and Derby will head south keen to avoid being on the wrong end of a shock, having themselves surprised Crystal Palace at Selhurst Park in round three.
