Sphinx are in the Midland League Premier Division, which is the fifth tier of non-league football.BCFC
A date and venue for the game will be confirmed in due course.
Sphinx are in the Midland League Premier Division, which is the fifth tier of non-league football.
They are currently fourth in the table with 13 points from their six games.
Blues last won the BSC in the 2014-15 season when they beat Nuneaton Town 2-1, in what was Nikola Zigic's last appearance for the Club.
It is usual for Blues to play their Under-23s side in the competition
Richard Beale’s side were beaten at the first round stage last season after suffering a 2-0 defeat away at Nuneaton Town.
Stourbridge are the current holders of the trophy.
The full 2018/19 full first round draw is as follows:
Coventry Sphinx v Birmingham City
Nuneaton Borough v Burton Albion
Halesowen Town v Wolverhampton Wanderers
Rushall Olympic v West Bromwich Albion
Redditch United v Rugby Town
Boldmere St Michaels v Bedworth United
Received a bye: Hednesford Town and Stourbridge