United were paired against the Shrews in this morning's draw, it will be the first time the Shropshire club have played a League side in a competitive match since their relegation out of the Football League in May.
The game will take place at Glanford Park in the week commencing October 14.
The draw in full:
Nothern Section:
Notts County v Barnsley
Huddersfield v Stockport
Sheffield Wednesday v Grimsby Town
Wrexham v Morecambe
Scunthorpe v Shrewsbury Town
Oldham Athetic v Hartlepool United
Lincoln City v Telford United
Halifax Town v York City
Darlington v Hull City
Carlisle United v Rochdale
Chesterfield v Macclesfield Town
Blackpool v Tranmere Rovers
Scarborough v Port Vale
Chester City v Doncaster Rovers
Southern Section:
Yeovil Town v Bournemouth
Wycombe v Cambridge United
Hereford v Exeter
Cheltenham v Colchester
Dagenham & Redbridge v Leyton Orient
Boston United v Swindon Town
QPR v Kidderminster
Southend United v Bristol Rovers
Barnet v Brentford
Oxford United v Rushden & Diamonds
Stevenage v Luton Town
Peterborough v Torquay
Brighton v Forest Green Rovers
Plymouth v Bristol City
*Bury, Huddersfield, Northampton and Swansea City were all handed byes.
