The other semi-final will be between Bolton and Stoke City, who beat West Ham 2-1 at the Britannia Stadium this afternoon.
City have not won the FA Cup since 1969 and boss Roberto Mancini is under pressure to deliver silverware, having spent heavily in the pursuit of success.
Bolton's FA Cup drought stretches back even further, to 1958, while Stoke have never reached the final.
Both semi-finals will take place at Wembley on the weekend of April 16-17.