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 another 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.
The ties will take place over the weekend of 25/26 January.
Draw for the fourth round of the FA Cup
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