FA Cup holders Chelsea have been handed a trip to Premier League rivals Wigan in the fourth round of the competition.
Avram Grant's side overcame QPR at Stamford Bridge in the third round, while the Latics cruised past Sunderland.
Manchester United will welcome either Tottenham or Reading to Old Trafford after seeing off Aston Villa for the fourth time in seven seasons.
Non-league Havant & Waterlooville have the enticing prospect of a trip to Anfield, should they overcome League One leaders Swansea in their replay and the Reds see off Luton.
Oldham and Huddersfield, respective giantkillers of Everton and Birmingham in the third round, will meet at Boundary Park.
The match will see an emotional return to his former club for Terriers boss Andy Ritchie.
There is little respite in sight for Newcastle boss Sam Allardyce, should the Magpies overcome Stoke in their replay, with a trip to Emirates Stadium to tackle Arsenal awaiting the winners.
Harry Redknapp's Portsmouth have been handed a home tie against Plymouth, while Middlesbrough make the trip to League Two strugglers Mansfield.
Fulham, who must overcome Bristol Rovers in a replay, will be away to another lower league side in round four, with Swindon or Barnet waiting in the wings.
The winners of West Ham's third round clash against Manchester City will travel to Bramall Lane to face Sheffield United, and Derby will be at home to Preston, provided the Rams can overcome Sheffield Wednesday at Hillsborough.