First-team squad members Kerry Mayo, Gary Hart, Guy Butters, Paul Reid, Wes Fogden, Doug Loft, Sam Rents, Scott Chamberlain, John Sullivan and Adam Hinshelwood will all be hoping to be offered the chance to stay at the Withdean Stadium.
Wilkins will also have to decide whether to offer professional deals to youngsters Sam Gargan, Sonny Cobbs, Chris Winterton and Lloyd Skinner.
Shane McFaul, who has hardly featured in the first team since moving to the Withdean Stadium from University College Dublin in January, is also out of contract.