Rovers have been handed a home tie against Premier League Swansea City in the fourth round of the FA Cup.
Gary Bowyer's Rovers reached this stage of the competition courtesy of Saturday's 2-1 away win over Charlton Athletic, whilst Swansea were comfortable 6-2 winners away at Tranmere Rovers.
The two sides have only ever three times in the coveted cup competition, the last time saw the Swans leave Ewood Park 2-0 winners in 1955.
The last time the two sides met in the league at Ewood was a memorable occasion for former striker Yakubu, as he scored all four goals in a 4-2 home win.
The draw in full...
Southampton or Ipswich Town v Crystal Palace
Cambridge United v Manchester United
Blackburn Rovers v Swansea City
Chelsea v Millwall or Bradford City
Derby County v Scunthorpe United or Chesterfield
Preston North End v Sheffield United
Birmingham City v West Bromwich Albion
Aston Villa v AFC Bournemouth
Cardiff City v Reading
AFC Wimbledon or Liverpool v Bolton Wanderers
Burnley or Tottenham Hotspur v Leicester City
Brighton & Hove Albion v Arsenal
Rochdale v Stoke City
Sunderland v Fulham or Wolves
Doncaster Rovers or Bristol City v Everton or West Ham United
Manchester City v Middlesbrough
Ties to be played the weekend of the 24/25th January. Confirmation of Rovers' date, time and ticketing arrangements will be announced as soon as possible.