Holders Arsenal and most of the other big clubs in England were handed favourable fixtures in the FA Cup fourth round draw on Monday night.
The Gunners will host Championship side Burnley, while Manchester United will travel to another Championship club, Derby.
Chelsea have been given a trip either Northampton or MK Dons, as Watford face Nottingham Forest.
In (potential) all-Premier League fixtures, Manchester City will visit Aston Villa of the Villans overcome Wycombe, while Liverpool will host West Ham if the Reds see off Exeter.
Fourth round fixtures
Northampton Town or MK Dons v Chelsea
Bury/Bradford v Hull City
Colchester United v Tottenham or Leicester
Ipswich/ Portsmouth v AFC Bournemouth
Oxford United v Newport County or Blackburn
Crystal Palace v Stoke City
Carlisle or Yeovil v Everton
Nottingham Forest v Watford
Shrewsbury Town v Sheffield Wednesday
Wycombe/ Aston Villa v Manchester City
Exeter City or Liverpool v West Ham
Huddersfield/ Reading v Walsall
Derby County v Manchester United
Arsenal v Burnley
Eastleigh or Bolton v Leeds United
West Brom/ Bristol City v Peterborough United