On Thursday, Deron Williams toured the construction site of the Nets’ future home with Billy King, the team’s general manager. Williams’s interest in the Barclays Center site is significant. He can become a free agent after next season; the arena is scheduled to open for the 2012-13 season.

“He is certainly enjoying his time with the organization,” Bob McClaren, Williams’s agent, said in a telephone interview. “They’ve been tremendous to him and they have a great plan for the future, and Deron feels like the best is yet to come for the franchise. ...

“He relishes the opportunity to help market the team to the fans and to, hopefully, free agents,” McClaren said of Williams.

“There is always great hope and opportunity for success when you’ve got a guy that can distribute the ball and make other players better. That’s what Deron Williams does so well.

“That will make the Nets organization very attractive to free agents, and that style of play will be attractive to the fans. The possibility is there to do something really special.”