Neil Ryan's Reds defeated Wigan Athletic 2-1 in the quarter-final two weeks ago to reach the last four for the first time since 2012, after also seeing off Lincoln City, Norwich City and Leeds United in this season's competition.
The Blues, meanwhile, have won seven of the last 10 stagings of the tournament, but were knocked out in 2018/19 by United, at the third-round stage.
The capital club have progressed to this stage without conceding a goal, having successfully negotiated ties against Huddersfield Town, Bradford City, Wolverhampton Wanderers and Millwall.
Blackburn Rovers will host Manchester City in the other semi-final, with the winners of that tie hosting the victors of our clash with the Blues in the final, which must be played by Saturday 25 April.