Just under 3,000 fans packed into Church Road on Saturday to see Brown's men hold their Third Division opponents to a 2-2 draw, but Brown believes supporters will understand if the Conference club, who travel to Boothferry Park a week on Tuesday for the second-round replay, decide to switch the tie to Stamford Bridge if they overcome the Tigers.
"I will leave that to the chairman - he makes the decisions - but I don't think any of our fans would mind going up to Stamford Bridge," said Brown, who could be looking forward to Premiership opposition even if his side lose at Hull.
Thanks to Manchester United's controversial withdrawal from the FA Cup this season, the Football Association, backed by the competition's sponsors, have decided to hand an "AXA wild-card" to one of the second-round losers.
One non-League club who definitely can look forward to Premiership opposition in the next round are Hereford, best known for their Ronnie Radford-inspired defeat of Newcastle in 1972.
Graham Turner's side, 1-0 winners against Third Division Hartlepool, will meet Leicester in the third round, and their manager said: "It brought back memories for me. When I was manager at Shrewsbury we played Leicester in the quarter-finals. We led at one stage but they went on to win 4-2. It will be another money-spinner for the club and could attract Sky television again."
Another TV payday could allay the troubles of the Conference club, who hold an emergency board meeting today to discuss bank demands.
Tottenham's home game with Newcastle, beaten Cup finalists for the past two years, was the only all-Premiership tie in the draw and is a repeat of last season's semi-final, which the Magpies won 2-0.
Another non-League side, either Ilkeston or Rushden & Diamonds, will travel to Sheffield United, while several Premiership teams have tricky away ties. Liverpool visit First Division Huddersfield, West Ham are at Tranmere, Everton travel to Third Division Exeter and Middlesbrough are away to Second Division Wrexham.
Arsenal and Leeds, at home to Blackpool and Port Vale respectively, have apparently easier routes, while Sunderland are at home to First Division strugglers Portsmouth.
First Division leaders Manchester City make the short trip to lowly Chester while Second Division Bristol City will have high hopes of pulling off an upset at the Premiership's bottom club, Sheffield Wednesday.
Watford are at home to Birmingham, who they knocked out of the First Division play-offs last season before winning promotion against Bolton at Wembley.
Derby have home advantage against Second Division Burnley and two top- flight sides, Wimbledon and Bradford, meet First Division Barnsley and Crewe respectively.
Enfield of the Ryman League, who held Preston to a goalless draw at Deepdale on Saturday, will play host to another Second Division side in Oldham if they win their replay.
Reading or Halifax v Plymouth or Brighton
Ipswich v Southampton
Norwich v Coventry City
Nottingham Forest v Shrewsbury or Oxford United
Wycombe or Wigan v Wolverhampton
West Bromwich Albion v Blackburn
Tottenham Hotspur v Newcastle United
Cambridge United v Crystal Palace
Charlton v Swindon
Hayes or Hull v Chelsea
Chester v Manchester City
Walsall v Gillingham
Sheffield Wednesday v Bristol City
Tranmere v West Ham United
Arsenal v Blackpool
Sheffield United v Ilkeston Town or Rushden & Diamonds
Watford v Birmingham
Queen's Park Rangers v Torquay
Wimbledon v Barnsley
Huddersfield v Liverpool
Preston or Enfield v Oldham
Crewe v Bradford
Exeter v Everton
Sunderland v Portsmouth
Grimsby v Stockport
Fulham v Luton or Lincoln
Wrexham v Middlesbrough
Hereford v Leicester City
Leeds United v Port Vale
Derby County v Burnley
Bolton v Bury or Cardiff
Aston Villa v Wild card team to be drawn from second-round losers
Ties to be played on 11 or 12 December