The tie is not the only all Premiership encounter, neighbours Manchester City also have a home tie against Aston Villa.
Elsewhere, Tottenham face Carlisle United, a trip that Spurs will not look forward to. Arsenal face Coventry City, Everton go to Leeds United, while Liverpool go to West Brom.
Full draw:
Manchester United v Newcastle United
Manchester City v Aston Villa
MK Dons v Sunderland
West Brom v Liverpool
Crawley Town v Swansea City
QPR v Reading
Norwich City v Doncaster Rovers
Bradford City v Burton Albion
Preston North End v Middlesbrough
Arsenal v Coventry City
Southampton v Sheffield Wednesday
Chelsea v Wolverhampton Wanderers
Carlisle United v Tottenham Hotspur
Swindon Town v Burnley
West Ham United v Wigan
Leeds United v Everton