Liverpool will take on the winners of Norwich City or Bristol Rovers with Chelsea hosting Aston Villa.
Manchester United are in third round action against Wigan Athletic on Monday night.
Should United get through that test, they face a trip to either Newport County or non-league Eastleigh in the next round.
Elsewhere, Maidstone United face a trip to Ipswich Town.
The National League South side booked their place in the fourth round with a win over Stevenage at the weekend and are rewarded with a trip to to the side sat second in the Championship, winners of the competition back in 1978.
FA Cup fourth round draw in full
Watford vs Southampton
Blackburn vs Wrexham
Bournemouth vs Swansea
West Brom vs Brentford or Wolves
West Ham or Bristol City vs Nottingham Forest or Blackpool
Leicester vs Hull City or Birmingham
Sheffield Wednesday vs Coventry
Chelsea vs Aston Villa
Ipswich vs Maidstone United
Liverpool vs Norwich or Bristol Rovers
Tottenham vs Manchester City
Leeds vs Plymouth
Crystal Palace or Everton vs Luton or Bolton
Newport or Eastleigh vs Wigan or Manchester United
Sheffield United vs Brighton
Fulham vs Newcastle
Fourth round fixtures are scheduled to commence later this month over the weekend of 27 and 28 January.
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