The event, at the The Lakes Golf Club in Sydney, starts on Thursday, and despite Australian Adam Scott publicly backing caddie Williams following the New Zealander's "black a***hole'' remark aimed at Woods, the controversy is likely to build along with the progression of the tournament.
Asked about the odds of Scott and Woods pairing up this week, tournament director Tony Roosenburg replied with an Aussie slang term meaning slim to no chance.
"Buckleys and none,'' he told Sydney's Daily Telegraph. "But it has nothing to do with the incident that was spoken about over the weekend. It was never going to happen anyway. No chance.''
Roosenburg added: "We've only got six days but we want to ensure Tiger has the best time possible in Sydney.''
However, the pair could still play the final two days in each others' company. Woods and Scott, and by extension Williams, could be paired if they shoot matching scores over the first two days of the tournament.
And there is also a possibility that they will play each other at the Presidents Cup, the biennial match between the United States and an international team, which will be held in Melbourne starting on November 17.