Premier League leaders Liverpool, who fielded a virtual youth side and still beat Everton in the FA Cup third round on Sunday, will travel to either Championship side Bristol City or League One Shrewsbury Town in the fourth round following Monday's draw.
Bristol City, who drew 1-1 at home to Shrewsbury on Saturday, pulled off one of the great FA Cup shocks last time they faced Liverpool, winning a third-round replay 1-0 at Anfield in 1994 as a second-tier side, a result that led to the resignation of the Anfield club's boss Graeme Souness.
Shrewsbury had less luck in their only ever meeting with Liverpool, losing 4-0 at home in the fourth round in 1996. The Merseysiders last won the FA Cup in 2006.
Holders Manchester City host Fulham while Manchester United or Wolverhampton Wanderers, who drew 0-0 at Molineux on Sunday, will play last year's runners-up Watford or Tranmere Rovers, who came from 3-0 down to draw their third-round tie 3-3.
Arsenal, who have won the world's oldest cup competition a record 13 times will be away to Premier League counterparts Bournemouth.
Burnley vs. Norwich City is the other all-Premier League match-up among the fourth round fixtures, which will be played between Jan. 24-27.
Championship side Birmingham City have been drawn away at either Bristol Rovers or Coventry City but could play on their own ground if Coventry win the replay between the third-tier sides since the Sky Blues currently share St Andrew's.
Fourth round draw:
Bristol City or Shrewsbury Town vs. Liverpool
Watford or Tranmere Rovers vs. Wolverhampton Wanderers or Manchester United
Manchester City vs. Fulham
Rochdale or Newcastle United vs. Oxford United
Hull City vs. Chelsea
Bournemouth vs. Arsenal
Burnley vs. Norwich City
Southampton vs. Middlesbrough or Tottenham Hotspur
Northampton Town vs. Derby County
Brentford vs. Leicester City
Queens Park Rangers vs. Sheffield Wednesday
Portsmouth vs. Barnsley
Bristol Rovers or Coventry City vs. Birmingham City
West Ham United vs. West Bromwich Albion
Reading or Blackpool vs. Cardiff City or Carlisle United
Millwall vs. Sheffield United