With no Premiership or First Division teams in the draw, QPR is arguably the biggest draw available.
With the early stages of the competition televised, Town may even benefit from a TV windfall.
Paul Groves was pleased to get a home draw, but acknowledge that QPR, who beat Town 1-0 earlier this month, are a touch prospect.
"A tough one," Groves told Mariners Net. "I would say at this moment in time that this is probably the toughest team that we could draw. But we're at home, so I don't think we could ask for any more - it's a good one."
Draw in full
Lincoln v Brighton
Peterborough v Hereford
Oldham v Carlisle
Cheltenham v Hull City
Yeovil v Wrexham
Macclesfield v Boston United
Grays or Margate v Aldershot
Scarborough v Doncaster Rovers
Barnet v Stalybridge Celtic
Blackpool v Boreham Wood
Wycombe v Swindon
Lancaster City v Cambridge United
East Thurrock or Woking v Histon
Bournemouth v Bristol Rovers
Eastbourne or Stevenage v Stockport County
Grantham v Leyton Orient
Thurrock v Luton
Northampton v Plymouth
Tranmere v Chesterfield
Hornchurch v Darlington
Scunthorpe v Shrewsbury
Torquay v Burton
Accrington Stanley v Huddersfield
Grimsby Town v QPR
Notts County v Shildon
Brentford v Farsley Celtic or Gainsborough
Kidderminster v Northwich or Halifax
Southend v Mangotsfield or Canvey Island
York City v Barnsley
Port Vale v Ford United
Mansfield Town v Bishop Stortford
Sheffield Wednesday v Salisbury City
Farnborough v Weston Super Mare
Chester City v Exeter City or Gravesend
Telford or Tamworth v Crawley Town
Colchester v Oxford United
Bradford Park Avenue v Bristol City
Bury v Rochdale
Swansea v Rushden & Diamonds
Hartlepool v Bromsgrove or Whitby
Games to be played weekend of 8-9 November.