Tottenham will host holders Manchester City in the fourth round of the FA Cup.
Chelsea face title contenders Aston Villa at Stamford Bridge in another all-Premier League meeting.
Manchester United, who defeated Wigan Athletic on Monday, will be away either to League Two Newport County or National League side Eastleigh.
Maidstone United, the lowest-ranked club left in the cup, visit Ipswich of the Championship.
The reward for Wolves if they win their third-round replay with fellow Premier League side Brentford is a trip to local rivals West Brom, who are chasing promotion from the Championship.
Either Bristol Rovers, 10th in League One, or Championship side Norwich will travel to Liverpool.
Ties will take place on the weekend of Saturday, 27 January.