The Club last won the tournament in the 2014/15 season when they beat Nuneaton Town 2-1.BCFC
The tie will be played at Tamworth's 4,963 capacity The Lamb Ground on a date to be confirmed.
Tamworth play their league football in the Southern League Premier Division Central - the third tier of non-league football.
They are jointly managed by Andrew Danylyszyn and Gary Smith. Smith is the cousin of former Blues striker Kevin Francis.
Blues were knocked out at the second-round stage of last season's cup competition, after they suffered a 1-0 defeat at Hednesford Town.
The Club last won the tournament in the 2014/15 season when they beat Nuneaton Town 2-1.
The current holders of the BSC are Leamington.