However, Fifita will have to make a call at some stage given that Tonga play Samoa in a one-off test the same weekend as the second Origin match.
Fifita, who represented Tonga at last year's World Cup, has said he would wait until as late as the week before the first Origin clash before making a decision.
But Cordner said he wouldn't try to sway the front-rower either way, and insisted he would have no questions over Fifita's commitment to the Blues even if he left it to the last minute.