Town's FA Cup reward for their thrashing of Gateshead is a home clash with Coventry City.
Gordon Strachan's Premiership side will visit the County Ground on Saturday January 6.
Club skipper Alan Reeves said: "They're beatable. They won't fancy coming here."
The full draw is as follows:
FA Cup 3rd round draw
Newcastle United v Aston Villa
Blackburn Rovers v Chester City
Morecambe v Ipswich Town
Leeds Utd v Barnsley
Derby County v West Brom
Watford v Everton
Carlisle Utd v Arsenal
Walsall v West Ham Utd
Swindon Town v Coventry City
Bolton v Yeovil Town
Southend Utd v Kingstonian
Huddersfield Town v Bristol City
Leicester City v York City or Reading
Charlton Athletic v Dagenham & Redbridge
Bournemouth v Gillingham
Chelsea v Peterborough or Oldham
Wimbledon v Wigan Athletic or Notts County
Northwich or Leyton Orient v Tottenham Hotspur
Burnley v Scunthorpe Utd
Preston North End v Stockport County
Manchester City v Birmingham City
Portsmouth v Tranmere Rovers
Bradford City v Middlesbrough
Sunderland v Crystal Palace
Cardiff City v Crewe Alexandra
Southampton v Sheffield Utd
Fulham v Manchester Utd
Liverpool v Rotherham Utd
Millwall or Wycombe v Grimsby Town
Nottm Forest v Wolverhampton Wanderers
Darlington or Luton Town v Queens Park Rangers
Sheffield Wednesday v Norwich City
Matches to be played on the weekend of January 6th and 7th
Don't miss all the reaction from the County Ground on Monday
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