The goalkeeper will take up a player-coach role at the club and is the second player to leave the Gallagher Stadium for the Whites after Stuart Lewis’ exit earlier this month.
Worgan has played nearly 300 times for the Stones in five season.
Chief executive Bill Williams old the club’s website: “Lee has been a wonderful servant of the club.
“He’s played a massive role in getting us to the level of football we’re at and given many hours of pleasure to our supporters over the past five or so years.
“Because of that loyal service, the club have reluctantly agreed to release him.
“The offer he’s had to join Dover’s management team provides security for his family as they prepare for the arrival of their firstborn and he was adamant he wanted start a new life in a coaching capacity.
“He leaves with our blessing and best wishes, and remains a good friend of the club.”