Conference Premier club Tamworth have been rewarded for beating Cheltenham with a home tie against League One Bristol City in the second round of the FA Cup.
Swindon's conquerors Macclesfield will play Conference North side Brackley, who beat Gillingham in Monday's replay, while Conference South side Dover Athletic travel to MK Dons.
Stourbridge of the Southern League Premier Division go to Stevenage.
Leyton Orient are at home to Walsall in an all-League One clash, while Tranmere travel to in-form Peterborough.
Following their 2-1 victory over Bishop's Stortford, the Football League's bottom side, Northampton Town, have been drawn away at Grimsby who beat local rivals Scunthorpe in Tuesday's replay.
Salisbury City will visit Port Vale,
Conference Premier leaders Cambridge face a home tie against Sheffield United if they can overcome League Two strugglers Bury in a replay after Tuesday's goalless draw, while Mansfield will face Oldham who beat League One leaders Wolves in Tuesday's replay.
League One Carlisle will play Brentford, while Wrexham will play the winners of Oxford versus Gateshead.
FA CUP SECOND-ROUND DRAW
Bury or Cambridge v Sheffield Utd
Wycombe Wanderers v Preston North End
Port Vale v Salisbury City
Bristol Rovers or York v Crawley
MK Dons v Dover Athletic
Carlisle United v Brentford
Macclesfield Town v Brackley Town
Chesterfield v Southend United
Oldham Athletic v Mansfield Town
Rotherham United v Rochdale
Peterborough United v Tranmere Rovers
Hartlepool United v Coventry City
Kidderminster Harriers v Newport County
Lincoln City or Plymouth Argyle v Welling United
Wrexham v Oxford United or Gateshead
Fleetwood Town v Burton Albion
Grimsby Town v Northampton Town
Leyton Orient v Walsall
Tamworth v Bristol City
Stevenage v Stourbridge