Woods told reporters Monday in Haikou, China, he was "going forward" regarding the dust-up, which Chamblee triggered by taking Woods to task for being "a little cavalier with the rules" in a year-end column written for Golf.com.
Chamblee is also an on-air analyst for The Golf Channel, which covers PGA Tour events. He issued an apology on Twitter, but Mark Steinberg, Woods' agent, indicated legal action could still be forthcoming.
Woods added he didn't know what the broadcaster was going to do, USA Today reported.
"But then that's up to them. The whole issue has been very disappointing as he didn't really apologize and he sort of reignited the whole situation.
"So the ball really is in the court of the Golf Channel and what they are prepared to do."
Golf Channel spokesman David Schaefer wouldn't comment to the newspaper, while Golf.com editor Eamon Lynch said he continued to support Chamblee.
"We hired Brandel because he is one of the most incisive and engaging analysts in golf," Lynch said. "We continue to value his insights and contributions."