Swindon have played twice already this season, losing 3-2 to Sheffield Wednesday in their opener but snatching a late 1-0 victory at Colchester on Friday.
They progressed to the second round of the cup at the expense of Southend.
Veteran striker, Tommy Mooney has been impressive so far for the 'Towners who turned down the chance to sign Gazza in the close season.
Ties will be played w/c 22nd September 2003. The full draw is as follows:-
Portsmouth v Northampton
Blackpool v Birmingham
Leicester v Crewe
Wigan v Fulham
Sunderland v Huddersfield
Notts County v Ipswich
Wolverhampton v Darlington
Crystal Palace v Doncaster
Hartlepool v West Brom
Bolton v Walsall
Bristol City v Watford
Tranmere v Nottm Forest
Oxford Utd v Reading
Leeds v Swindon
Stoke or Rochdale v Gillingham
Cardiff v West Ham
Everton v Stockport
Charlton v Luton
Rotherham v Colchester
Scunthorpe v Burnley
Sheff Utd v QPR
Wycombe v Aston Villa
Coventry v Tottenham
Middlesbrough v Brighton
(Clubs involved in European matches enter the competition at the third round stage)