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 cash-strapped 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.
Keith Hill's Sky Bet League Two side recorded a deserved 2-0 win over the 1972 winners and will be hopeful of progression in to round five as they welcome either cash-strapped Macclesfield or three-time winners Wednesday.
Source : PA
Source: PA