White, whose contract expires at the end of the tournament in September, said: "There is a new managing director at SA Rugby and I've told him that I would like to know what is going to happen after the World Cup tournament.
"I can make a decision only once he has informed me. Maybe SA Rugby wants to renew it (the contract) and the conditions are good; or maybe they see me in another role.
"I can answer only when I know what my options are. I have finalised nothing but I can tell you I'm not going to Leicester."
White believes southern hemisphere players will leave for Europe after the World Cup.
"I'm not the only one who has been approached," he said.
"Many players in South Africa, New Zealand and Australia are being approached regarding their availability after the World Cup tournament. We will lose players."
SA Rugby Union president Oregan Hoskins said White may receive an extension.
"I'm talking in my personal capacity," he said. "It's a decision to be taken later this year. We still have to see how the Springboks perform in the run-up to the World Cup."
White created an uproar before the French Test last year when he asked for an extension to after the 2009 British & Irish Lions' tour.
SA Rugby's executive rejected this. He also survived calls by the Blue Bulls Rugby Union for his resignation.