The U's overcame Rotherham United 3-2 at the weekend in their third round tie.
The third round replay between Newcastle and Blues takes place at St James' Park on Wednesday 18 January.
Fourth round ties will be played over the weekend of 27-30 January.
Full draw details as follow...
Derby v Leicester
Oxford Utd v Newcastle/Birmingham
Sutton/Wimbledon v Cambridge/Leeds
Plymouth/Liverpool v Wolves
Southampton/Norwich v Arsenal
Lincoln/Ipswich v Brighton
Chelsea v Brentford
Manchester United v Wigan
Millwall v Watford
Rochdale v Huddersfield
Burnley/Sunderland v Fleetwood/Bristol City
Blackburn v Barnsley/Blackpool
Fulham v Hull
Middlesbrough v Accrington Stanley
Crystal Palace/Bolton v Manchester City