A December 3 trip to either fellow non-Leaguers Woking or Southport will be regarded by many as akin to him having driven his ball into a bunker.
But the Vics' chief sees it as a golden opportunity for his Nationwide North high-fliers to join the likes of Premiership giants Manchester United, Chelsea and Arsenal in the third-round proper.
"I was hoping the lads would get the top tie they deserved after our win at Morecambe, but at least this game gives us another great chance to progress," said Burr.
"Going to Woking or Southport won't be easy, but we've already comprehensively beaten one Conference side and, hopefully, we can do that again."
Vics, who have battled through four rounds to reach the second-round proper, have already stacked up a cool £34,750 in FA Cup prize money and victory at the next stage would see them add a further £24,000.
Replay
Oldham, who were held to a 1-1 draw by minnows Chasetown, will face Brentford if they see off their Midland Alliance challengers.
Stockport, who beat Swansea 2-0, are away to Hereford, and Macclesfield will play Walsall if they triumph in their replay with Yeovil.
Bury, meanwhile have drawn Aldershot away if they despatch Scunthorpe.
Non-League Burscough could face a trip to Peterborough as reward for knocking League One Gillingham out.
The UniBond League Premier Division side scored two late goals to stun the Gills 3-2 and will now travel to League Two Peterborough or Conference strugglers Burton Albion in round two.
THE DRAW: Walsall v Macclesfield or Yeovil, Southport or Woking v Northwich, Peterboro or Burton Albion v Burscough, Aldershot v Bury or Scunthorpe Utd, Shrewsbury Town v Colchester Utd, Hartlepool Utd v Tamworth, Cheltenham Town v Eastborne Boro or Oxford Utd, Mansfield Town v Grays Athletic, Hereford Utd v Stockport County, Stevenage Borough v Northampton, Town Port Vale v Bristol Rovers, Swindon or Boston Utd v Doncaster or Blackpool, Halifax or Rushden v Leyton Orient or Chesterfield, Nuneaton Borough v Histon, Chasetown or Oldham v Brentford, Southend Utd v Lincoln City or MK Dons, Chippenham or Worcester City v Huddersfield Town, Torquay or Harrogate v Notts County, Barnsley v Bradford or Tranmere, Chester City v Nottm Forest or Weymouth.
Ties to be played weekend of December 3 and 4.
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