Ben Wilkinson’s side will host Fleetwood Town on Tuesday, 7 February with a kick-off time of 19:00 (UK).
The match will be played at the Academy Stadium.
The young Blues secured a place in the last 16 with a 4-1 win over Brighton & Hove Albion and will now take on a Fleetwood Town side that has reached the fifth round for the first time.
The full draw is:
Ipswich Town v Liverpool
Luton Town v Preston North End
Watford v Arsenal
Manchester City v Fleetwood Town
Stoke City v West Ham United
Southampton v Sunderland or Fulham
Oxford United v AFC Wimbledon or Leeds
Cambridge United or Chelsea v Sheffield Wednesday
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