It will be the first time United have faced Chelsea since 1988, when the Iron knocked the Blues out of the League Cup with a 6-3 aggregate win.
That tie included a memorable 4-1 win at Glanford Park, though the odds are stacked against a repeat this time round.
Iron boss Brian Laws was delighted by the draw, which will bring a massive payday for the club who pocket a third of the gate receipts.
He said: "I've got to be honest and say: ' no, I don't want a cup run after what happened last year'.
That tie included a memorable 4-1 win at Glanford Park, though the odds are stacked against a repeat this time round.
Iron boss Brian Laws was delighted by the draw, which will bring a massive payday for the club who pocket a third of the gate receipts.
He said: "I've got to be honest and say: ' no, I don't want a cup run after what happened last year'.
"That'll do me nicely thank you very much, then let's concentrate on the League."
Fuelled by the billions of Russian oil magnate Roman Abramovich - he is worth £7.5b and earns £5.4million a day - Chelsea have assembled the most expensive side in the history of British football.
Managed by Champions League winner Jose Mourinho, they have opened up a five-point gap at the top of the Premiership and have declared their intention to win all four trophies they have entered this season.
A 2-0 win over League One crisis-club Wrexham on Friday night ensured United's progression to this round of the famous competition.
The damage was done thanks to Lee Ridley's first goal of the season, and a tap-in from Matty Sparrow.
Progression earned United £24,000 in prize money, as well as £75,000 thanks to the attendance of the Sky television camers, and saw them into Sunday's draw.
The tie will be played at Stamford Bridge on January 8, unless it is moved on police advice or to accomodate TV cameras.
Other ties of note include Isthmian League side Yeading, who will host Newcastle United.
Arsenal will play Championship side Stoke, with Manchester United hosting Premiership outfit Exeter City. Liverpool face a tricky trip to play Burnley.
Draw in full:
Fuelled by the billions of Russian oil magnate Roman Abramovich - he is worth £7.5b and earns £5.4million a day - Chelsea have assembled the most expensive side in the history of British football.
Managed by Champions League winner Jose Mourinho, they have opened up a five-point gap at the top of the Premiership and have declared their intention to win all four trophies they have entered this season.
A 2-0 win over League One crisis-club Wrexham on Friday night ensured United's progression to this round of the famous competition.
The damage was done thanks to Lee Ridley's first goal of the season, and a tap-in from Matty Sparrow.
Progression earned United £24,000 in prize money, as well as £75,000 thanks to the attendance of the Sky television camers, and saw them into Sunday's draw.
The tie will be played at Stamford Bridge on January 8, unless it is moved on police advice or to accomodate TV cameras.
Other ties of note include Isthmian League side Yeading, who will host Newcastle United.
Arsenal will play Championship side Stoke, with Manchester United hosting Premiership outfit Exeter City. Liverpool face a tricky trip to play Burnley.
Draw in full:
Arsenal v Stoke
Swindon/Notts Co v Middlesbrough
Man Utd v Exeter
Plymouth v Everton
Leicester v Blackpool
Derby v Wigan
Sunderland v Crystal Palace
Wolves v Millwall
Yeading v Newcastle
Hull v Colchester
Tottenham v Brighton
Reading v Stockport/Swansea
Birmingham v Leeds
Hartlepool v Boston
Milton Keynes Dons v Peterborough
Oldham v Man City
Chelsea v Scunthorpe
Cardiff v Blackburn
Charlton v Rochdale
West Ham v Norwich
Sheff Utd v Aston Villa
Preston v West Brom
Rotherham v Yeovil
Burnley v Liverpool
Bournemouth v Chester
Coventry v Crewe
Watford v Fulham
Ipswich v Bolton
Portsmouth v Gillingham
Northampton v Southampton
QPR v Nottm Forest
Luton v Hinckley/Brentford
Swindon/Notts Co v Middlesbrough
Man Utd v Exeter
Plymouth v Everton
Leicester v Blackpool
Derby v Wigan
Sunderland v Crystal Palace
Wolves v Millwall
Yeading v Newcastle
Hull v Colchester
Tottenham v Brighton
Reading v Stockport/Swansea
Birmingham v Leeds
Hartlepool v Boston
Milton Keynes Dons v Peterborough
Oldham v Man City
Chelsea v Scunthorpe
Cardiff v Blackburn
Charlton v Rochdale
West Ham v Norwich
Sheff Utd v Aston Villa
Preston v West Brom
Rotherham v Yeovil
Burnley v Liverpool
Bournemouth v Chester
Coventry v Crewe
Watford v Fulham
Ipswich v Bolton
Portsmouth v Gillingham
Northampton v Southampton
QPR v Nottm Forest
Luton v Hinckley/Brentford
