The game will take place on Wednesday, 30th November with a kick off time of 8pm.
Rovers were rewarded the tie after dispatching Leeds United from the competition in the third round by a score line of 3-0.
Charlton earned their place the hard way by knocking out Premiership giants Chelsea at
Charlton will fancy their chances for this tie being the home side and still boosted by the
The full fourth round draw is as follows:
Bolton Wanderers v Leicester City
Manchester United v West Bromwich Albion
Doncaster Rovers v Aston Villa
Arsenal v Reading
Wigan Athletic v Newcastle United
Charlton Athletic v Blackburn Rovers
Middlesbrough v Crystal Palace
Millwall v Birmingham City.