"I think it'd be tough, given what's going on the last two years for me, to play this summer," Williams said. "I would love to, but you just gotta see how it goes, you know?"
Said USA coach Mike Krzyzewski: "You want to see how those injuries play out, and a year from now, if they have the 2014-15 season and go injury-free, they [Deron and Tyson Chandler] would be a factor [for the 2016 Olympics in Rio de Janeiro] if they're at the top level they've been at."
Williams is a two-time Olympic gold medalist (2008 and 2012 with a 16-0 record). He ranks fourth in games (16), tied for fourth in made 3-pointers (22) and sixth in assists (59).
"That's always an honor," Williams said when asked for his reaction on making the initial roster. "I had a chance to compete in two Olympics. It's one of those things that you cherish for the rest of your life. And so I'm definitely honored to have a chance for another one."
Williams recalled the first time he put on a Team USA jersey.
"It was an exciting time for me, I was so young, I think I was in my third year in the NBA," he said. "I was honored to represent my country. I had been part of the USA program since I was in high school, and I was able to compete in two different junior world events, 18-to-20-under or whatever it was, and it was always a privilege to represent my country, and it was really exciting."
Williams first began experiencing ankle injuries at the Olympics in the summer of 2012. USA Basketball president Jerry Colangelo said Williams was "out of shape" at the time.
Williams' ankle injuries have persisted since, leading him to believe that he should've rested during that summer rather than taking just four days off.
• Williams will come off the bench for a third straight game since returning to the lineup Friday night against the Dallas Mavericks.
There is no plan in place for him to return to the starting lineup.
"Go with the flow, the flow is working right now, so keep it going," Williams said.