The sides will meet at Hanbury Park in the Second Round of the 2017/18 competition, having also met in last seasons competition when Heath ran out emphatic 5-0 winners at the Quarter Final stage.
The fixture will take place on Tuesday 22nd August, kicking off at 7:45pm with extra time and penalties to be played if the score are level.
The draw for the Under 21 League Cup has also been made, with United Under 21's handed an away fixture at East Preston in the Preliminary Round of the competition.
The winner of that tie will then face Hailsham Town at home in the First Round.
A date for the fixture is yet to be confirmed by the SCFL.
The full grid of league cup fixtures can be viewed here
Updated 20:43 - 24 Jul 2017 by Dean Allchin