After defeating Bristol City 2-0 at Ewood Park in the third round, Rovers reward is another match against championship opposition with an away tie against Derby County.
The two sides have already faced each other in the league this season where it ended all square in a 1-1 draw at Pride Park.
The two sides last met in the FA Cup back in 2001. A goalless draw at Ewood resulted in a replay at Derby with Rovers running out impressive 5-2 winners.
The draw in full...
Norwich City v Luton Town
Oldham Athletic v Mansfield Town or Liverpool
Macclesfield Town v Wigan Athletic or AFC Bournemouth
Derby County v Blackburn Rovers
Hull City or Leyton Orient v Barnsley
Middlesbrough v Aldershot Town
Millwall v Aston Villa
Leeds United or Birmingham City v Tottenham Hotspur
Brighton & Hove Albion v Swansea City or Arsenal
Crystal Palace or Stoke City v Manchester City
West Ham or Man Utd v Fulham or Blackpool
Southend or Brentford v Chelsea
Reading v Sheffield United
Huddersfield Town v Leicester City
QPR or West Brom v Sheffield Wednesday or MK Dons
Bolton or Sunderland v Cheltenham or Everton.
Ties to be played the weekend of the 26/27th January 2013.