Mr Williams caddied for his former boss for 13 years until he was dismissed in July, which sparked a public battle of words between the two.
He has reignited the feud with a Yahoo! Sports television interview due to air around the world today, reported the Sydney Morning Herald.
The interview comes as Mr Williams' new boss Adam Scott is set to face Mr Woods in the Presidents Cup, kicking off today in Melbourne, Australia.
In the television interview, Mr Williams reportedly told of how he had no idea his former boss and golf great was repeatedly cheating on his wife, Elin Nordegren.
"I don't agree with that sort of behaviour. I mean, I would have been strongly giving my piece of advice,'' he said.
"I guess I thought I knew him well, and I didn't.''
The interview was reportedly recorded before Mr Williams made a racial slur towards Mr Woods, calling him a "black a***hole''.
The pair met last in Sydney last week, where Mr Williams apologised and shook hands with his former employer.
