Stevenage’s reward for knocking out Doncaster is a fourth-round tie against five-time FA Cup winners Everton.
The Hertfordshire side overcame their Championship opponents at the Keepmoat Stadium and will now host Roberto Martinez’s men, who have impressed in the Premier League so far this season.
The Premier League big boys have all been kept apart with Arsenal, who beat north London rivals Tottenham at the Emirates Stadium on Saturday evening, at home again against Coventry.
Chelsea will host Stoke if they beat Derby in their third-round tie, with the winner of the Manchester City v Blackburn replay facing a home fixture against Bristol City or Watford.
Rochdale’s reward for beating Leeds in the third round is a fourth-round meeting at home to either Macclesfield or Sheffield Wednesday.
FA Cup draw: Sunderland v Kidderminster or Peterborough, Bolton v Cardiff, Southampton v Yeovil, Huddersfield v Charlton or Oxford, Port Vale or Plymouth v Brighton, Nottingham Forest v Ipswich or Preston, Southend v Hull, Rochdale v Macclesfield or Sheffield Wednesday, Arsenal v Coventry, Stevenage v Everton, Wigan or MK Dons v Crystal Palace, Derby or Chelsea v Stoke, Blackburn or Manchester City v Bristol City or Watford, Bournemouth or Burton v Liverpool, Birmingham, Bristol Rovers or Crawley v Swansea, Sheffield United v Norwich or Fulham.