The tie at St Andrews will take place on weekend of 12th/13th March.
Blues progressed to the quarter final stages with a 3-0 home success against Sheffield Wednesday on Saturday whilst the Trotters won 1-0 away at Fulham on Sunday afternoon.
Quarter-final draw
Stoke v West Ham or Burnley
Man City or Aston Villa v Everton or Reading
Birmingham City v Bolton
Manchester United v Leyton Orient or Arsenal.