The fixture will be played on Saturday 14th October at 3pm.
As a result, our National League South fixture with Chelmsford City due to be played on Saturday 14th October will be rescheduled.
League rivals Bath City sit 2nd in the league table after a bright start to the campaign, winning six and drawing three of their first 10 games.
The Romans overcame Weymouth with a 2-1 away win in the last round of the Emirates FA Cup.
While the Rebels came from behind to beat Sussex rivals Whitehawk 2-1 at home thanks to a brace from striker Jake Robinson.
The sides are yet to meet in the league this season, with the first meeting scheduled to be played later this month.
In the two league meetings last term, Worthing earned a point on the road thanks to a late Ollie Starkey equaliser. But, it was Bath who were the victors on the South Coast, winning 3-2 at Woodside Road.
Ticket information for the cup fixture will be released in due course.