Chelsea, meanwhile, will host Manchester City at Stamford Bridge, while Manchester United will travel to Shrewsbury Town.
Tottenham have been handed a home clash against Premier League side Crystal Palace. Liverpool or West Ham will travel to Blackburn Rovers.
Arsenal booked their place in the fifth round thanks to a 2-1 win over Burnley at Emirates Stadium on Saturday.
Manchester United, meanwhile, secured their progress with a 3-1 victory at Derby County on Friday night.
Chelsea earned their spot in the fifth round thanks to a thumping 5-1 win at MK Dons on Sunday afternoon as Guus Hiddink’s men continue to show signs of improvement.
The FA Cup fifth round ties are set to be played between 19 and 22 February 2016.
Arsenal have won the competition for the last two seasons running.
Chelsea v Manchester City
Reading v West Brom or Peterborough
Watford v Leeds
Shrewsbury Town v Manchester United
Blackburn Rovers v Liverpool or West Ham
Tottenham v Crystal Palace
Arsenal v Hull City
Bournemouth v Everton
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