BOSTON – Boston Celtics guard Avery Bradley will undergo surgery on his right shoulder on Tuesday at New England Baptist Hospital, according to assistant general manager Austin Ainge, and will miss the team’s training camp in October.

The surgery, designed to tighten up ligaments in the shoulder, will be performed by team physician Brian McKeon.

Ainge acknowledged that the additional surgery — Bradley also had left shoulder surgery in May — will likely keep the blossoming shooting guard sidelined for the first part of the season.

Celtics Coach Doc Rivers concurred with that assessment.

“It could be early in the season, it could be mid-December,” Rivers said of a possible Bradley return. “We’re just not sure.”

Bradley’s 2011-12 season ended prematurely, during the team’s playoff run, with the initial surgery on his left shoulder. The reason the Celtics needed to wait to have the right shoulder surgery performed is because Bradley, with one shoulder already in a brace, needed time to recover before switching the brace over to the other shoulder.

“Hey, the guy has to eat,” Rivers said with a laugh as he explained the situation.

Bradley, a 2010 draft pick, had a bit of a breakout season. Thrust into the starting lineup when Ray Allen was injured, Bradley soon won the spot outright. He averaged 7.6 points per game and shot 49.8 percent, but his biggest contributions came on the defensive end, where he emerged into one of the league’s best perimeter defenders.

His emergence also forced Allen to a sixth-man role, one of the factors that possibly led the veteran guard to leave the Celtics for the Miami Heat.

• Free-agent forward Jeff Green should reach agreement with the Celtics early this week, according to his agent, Jeff Falk.

Green was diagnosed with an aortic aneurysm last December, voiding a one-year, $9 million contract.

But the Celtics helped arrange his surgery at the Cleveland Clinic. Once Green was ready to resume workouts following surgery in early January, he was allowed to use the Celtics’ practice facility in Waltham. He traveled with the team on several road trips and sat on the bench during a few home games.

Falk credits this showing of goodwill with Green’s desire to return.

“I’m very confident that this will be done,” Falk said. “But as I always say, you’re close when you’re grabbing a pen. I know Danny (Ainge) has been busy singing Jason Terry and Brandon Bass. We’re not worried.”

TRADE: Orlando has agreed to a sign-and-trade deal, that would send restricted free agent forward Ryan Anderson to New Orleans for forward Gustavo Ayon, a person familiar with the agreement said.

The NBA’s trade moratorium prevents clubs from announcing such moves before July 11.

The 6-foot-10 Anderson is entering his fifth NBA season. He started 61 games for Orlando last season, averaging 16.1 points and 7.7 rebounds.

Ayon, also 6-10, spent his rookie NBA season in New Orleans after playing in Spain’s top pro league.

BUCKS: Milwaukee is close to a deal with free-agent forward Ersan Ilyasova.

The 6-foot-10, 235-pound Ilyasova had a breakout season in 2011-12, averaging 13 points, 8.8 rebounds and 1.2 assists.