Chelea will travel to either Northampton or MK Dons, Manchester United face an away trip to Derby, and if Liverpool overcome Exeter in the replay they will face West Ham.
Elswhere non-league side Eastleigh, who face a replay with Bolton, could take on Leeds in the fourth round, Wycombe or Aston Villa will play Manchester City.
Oxford, who beat Premier League Swansea, will face either Newport or Blackburn.
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Kemar Roofe helped Oxford stun Swansea on Sunday
Draw in full
West Brom/ Bristol City v Peterborough
Eastleigh/ Bolton v Leeds
Arsenal v Burnley
Derby v Manchester United
Huddersfield/ Reading v Walsall
Exeter/ Liverpool v West Ham
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Exeter came close to shocking Liverpool but face a replay
Wycombe/ Aston Villa v Manchester City
Shrewsbury v Sheffield Wednesday
Nottingham Forest v Watford
Carlisle/ Yeovil v Everton
Crystal Palace v Stoke
Oxford v Newport/ Blackburn
Ipswich/ Portsmouth v Bournemouth
Colchester v Tottenham/ Leicester
Bury/ Bradford v Hull
Northampton/ MK Dons v Chelsea
GETTY
The draw for the FA Cup fourth round has been made
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