Cronulla league club have confirmed five of their players have been issued with show-cause notices by Asada.
Nathan Gardner, Wade Graham, Anthony Tupou, John Morris and Paul Gallen have been offered a proposal regarding a possible suspension by the anti-doping authority.
The club statement said the players need to consider the offers before the weekend and will consult their legal representatives over the next two days in relation to their individual circumstances.
"Solicitors acting for the players will continue to manage the process on their behalf," the statement said.
A further 12 players who played for the club during the 2011 season have also been issued with show causes by Asada.