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.
Elsewhere, there are two definite all-Premier League ties, with Manchester United at home to Tottenham or Reading, and Wigan at home to FA Cup holders Chelsea.
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.
