The Hatters will travel to south Wales on Tuesday 28th September for the tie.
Current holders Blackpool start their defence of the Trophy away to Conference side York City, with last season's beaten finalists Southend facing Colchester.
The full draw:
Southern Section...
Colchester United v Southend United
Cheltenham Town v Dagenham & Redbridge
Boston United v Cambridge United
Walsall v Rushden & Diamonds
Oxford United v Exeter City
Bristol Rovers v Kidderminster Harriers
Bristol City v Peterborough United
Woking v Leyton Orient
Brentford v Milton Keynes Dons
Swansea City v Luton Town
Barnet v Stevenage Borough
Aldershot Town v Wycombe Wanderers
Shrewsbury Town v Bournemouth
Torquay United v Yeovil
Byes to round two: Swindon & Northampton
Northern Section...
Bradford City v Accrington Stanley
Port Vale v Barnsley
York City v Blackpool
Mansfield Town v Darlington
Macclesfield Town v Chesterfield
Sheffield Wednesday v Chester City
Stockport County v Bury
Rochdale v Scarborough
Lincoln City v Doncaster Rovers
Hereford United v Scunthorpe United
Hartlepool United v Hull City
Huddersfield Town v Morecambe
Notts County v Wrexham
Carlisle United v Grimsby Town
Byes to round two: Oldham & Tranmere Rovers
Ties to be played week commencing 27 September.