Though the Duke coach had repeatedly said he wouldn't be back after last summer, USA Basketball chairman Jerry Colangelo says they spoke about a week ago and there has been "movement" toward a return.
Krzyzewski told Sports Illustrated in a story Saturday that "there's a chance" he would lead the United States in 2016 for an attempt at a third gold medal.
Krzyzewski, 66, took over as U.S. coach in 2005. The Americans won a bronze medal in the 2006 world basketball championship and haven't lost a game since.
Even as Krzyzewski kept saying he was finished, Colangelo hoped he would reconsider. Colangelo wants a coach in place before the team holds a minicamp in July and believes there will be a decision soon.
The Americans' next tournament is the 2014 World Cup of Basketball in Spain.