Non-leaguers Havant & Waterlooville could face a trip to Anfield to take on Liverpool in the fourth round.
The Blue Square South side, the lowest-ranked team left in the competition, held Coca-Cola League One leaders Swansea 1-1 at the weekend and are at home to the Welsh side in a replay next week, whilst Liverpool must overcome Luton to reach the last 32.
This is the draw for the Fourth Round of the FA Cup.
Arsenal v Stoke City or Newcastle
Coventry v Walsall or Millwall
Oldham v Huddersfield
Swindon or Barnet v Fulham or Bristol Rovers
Wigan v Chelsea
Luton or Liverpool v Swansea or Havant
Southend v Barnsley
Southampton v Norwich or Bury
Manchester United v Tottenham or Reading
Portsmouth v Plymouth
Derby or Sheffield Wednesday v Preston
Watford v Wolves
Peterborough v Charlton or West Brom
Sheffield United v West Ham or Manchester City
Mansfield v Middlesbrough
Tranmere or Hereford v Cardiff
Ties to be played January 26 and 27.