The last time the two teams met in England’s premier cup competition, Blackburn ran out 2-0 victors at Ewood Park in 2007.
However, the tie could prove a good omen as the Blues comfortably saw off Rovers on the way to FA Cup glory in 1969, recording a 4-1 victory in the fifth round.
Ties will be played on the weekend of 4 and 5 January 2014.
We’ll have all the ticket details once the date and time are confirmed on mcfc.co.uk.
Draw in full:
Barnsley v Hartlepool or Coventry
Yeovil v Leyton Orient
Liverpool v Oldham or Mansfield
Nottingham Forest v West Ham
Bristol City v Watford
Southend United v Millwall
Middlesbrough v Hull
West Brom v Crystal Palace
Kidderminster v Peterborough
Doncaster v Stevenage
Stoke v Leicester
Southampton v Burnley
Newcastle v Cardiff
Rochdale v Leeds
Wigan v MK Dons
Charlton v Wrexham
Manchester United v Swansea
Port Vale v Plymouth
Norwich v Fulham
Aston Villa v Sheffield United
Macclesfield v Sheffield Wednesday
Sunderland v Carlisle United
Bolton v Blackpool
Blackburn Rovers v Manchester City
Everton v QPR
Brighton v Reading
Arsenal v Spurs
Birmingham v Bristol Rovers or Crawley
Grimsby v Huddersfield Town
Ipswich Town v Preston North End
Derby County v Chelsea
AFC Bournemouth v Fleetwood or Burton Albion