Boro fans will remember that we beat Notts County at the same stage last season, but that game was at the Riverside. We have never played Swindon before in the FA Cup.
Swindon are currently mid-table in League One while Notts County are in the bottom half of League Two.
The full draw is as follows:
Arsenal v Stoke
Swindon/Notts Co v BORO
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 For
Luton v Hinckley/Brentford
The games are due to be played on the weekend of 8th January.