Latest figures show 10 residents in the Arun district are waiting for a transplant operation.
Statistics about the waiting list last December 31 from NHS Blood and Transplant also reveal five deceased donors were responsible for 18 transplants in 2018/19.
A change in law, likely on May 20, will mean all adults in England will be considered as having agreed to donate their organs when they die unless they are in a specified group.
Even after the law changes, families will still be involved before any organ or tissue donation goes ahead.
Anthony Clarkson, NHS Blood and Transplant’s director of organ donation and transplantation, said: “We hope that the new law encourages more people to record their donation decision and talk about organ donation with their families.
“Organ donation is and always will be a precious gift.”