Should they decide to do so, the ban would rule him out of Saturday's game against Manchester United at Old Trafford.
The dispute surrounding Viduka's failure to arrive in Caracas at the weekend for Australia's friendly with Venezuela tonight has yet to be resolved.
Leeds informed the ASA last Thursday that Viduka would not be reporting for duty after he sustained a hamstring strain in the 4-1 Premiership victory over Wolves two days previously.
Viduka's personal circumstances have also been cited, because he only returned to Elland Road recently after spending three weeks with his seriously ill father.
Viduka's representative, Chris Page of the Insite Organisation, said: "Internal talks are still ongoing between Mark, Leeds and the ASA. A decision has not yet been reached."