The match is scheduled to take place at The Lamb Ground, Tamworth on Saturday 5 October with a 3pm kick-off, unless streamed or televised.
Tamworth are currently third in the BetVictor Southern Premier Division – Central table having won five of their opening 8 league games.
The Lambs have already beaten Nuneaton Borough 3-1, and Loughborough Dynamo 3-0 to reach the 3rd Qualifying Round stage.
The hosts average attendance is around 650, and with an influx of travelling Hereford supporters the club could attract their highest gate of the season which currently stands at 1,047 for the cup-tie against Nuneaton.
Bromsgrove Sporting are the only side to have beaten Tamworth so far, winning 3-1 at the Lamb Ground back on 13 August.
Winning clubs will receive £11,250 from the FA prize fund while losing clubs will collect £3,750.
THE THIRD QUALIFYING ROUND DRAW:
ASHTON UNITED v SPENNYMOOR TOWN
HALESOWEN TOWN v CHESTER or ALTRINCHAM
HEDNESFORD TOWN v CURZON ASHTON or BLYTH SPARTANS
NANTWICH TOWN v MORPETH TOWN
PETERBOROUGH SPORTS v GUISELEY
LEEK TOWN v ALFRETON TOWN or KING’S LYNN TOWN
WHITBY TOWN v GLOUCESTER CITY
KIDSGROVE ATHLETIC v GATESHEAD
STOURBRIDGE v KIDDERMINSTER or STAFFORD RANGERS
BELPER TOWN or WITTON ALBION v RUSHALL OLYMPIC
BUXTON v YORK CITY
TAMWORTH v HEREFORD
DUNSTON v COLNE or OSSETT UNITED
FARSLEY CELTIC v SOUTHPORT
LEAMINGTON or CHASETOWN v DARLINGTON
KETTERING TOWN or SUTTON COLDFIELD v BOSTON UNITED
BRACKLEY TOWN v WARRINGTON TOWN
OXFORD CITY v HAMPTON & RICHMOND BOROUGH
LOWESTOFT TOWN v CARSHALTON ATHLETIC
DULWICH HAMLET v EASTBOURNE BOROUGH
ST IVES TOWN or CANVEY ISLAND v BOWERS & PITSEA
BRISTOL MANOR FARM v WEALDSTONE
KINGSTONIAN or MARCH TOWN UNITED v WESTON-SUPER-MARE
HARINGEY BOROUGH v CRAY WANDERERS
WELLING UNITED v TAVISTOCK
MALDON & TIPTREE v CHERTSEY TOWN
CIRENCESTER TOWN or CHIPPENHAM TOWN v SLOUGH TOWN
SALISBURY v MARGATE
WALTHAMSTOW or ABBEY RANGERS v WHYTELEAFE
KINGS LANGLEY v CORINTHIAN CASUALS
WARE v POTTERS BAR TOWN
HAYES & YEADING UNITED v HENDON
ROYSTON TOWN v BEACONSFIELD TOWN
TOOTING & MITCHAM UNITED v POOLE TOWN
HAVANT & WATERLOOVILLE v HADLEY
BILLERICAY TOWN v BATH CITY
BLACKFIELD & LANGLEY v DARTFORD
WEYMOUTH v ST ALBANS CITY or WORTHING
HARTLEY WINTNEY or CHICHESTER CITY v ENFIELD TOWN
MAIDSTONE UNITED v HITCHIN TOWN