Celtics president of basketball operations Danny Ainge confirmed Monday the team will make a qualifying offer to forward Glen Davis.
By virtue of that, if another NBA team were to sign Davis, a restricted free agent, to an offer sheet, Boston would have seven days to match it.
Davis, whose annual salary is $711,517, increased his value with strong performances late in the regular season and playoffs, replacing the injured Kevin Garnett in the starting lineup.
Davis averaged 15.8 points and 5.6 rebounds in the postseason, and hit a game-winning jumper at the buzzer in Game 4 of the second-round series against Orlando.
Also, guard Eddie House will decide Tuesday on whether to accept his $2.86 million option for next season or become a free agent, according to agent Mark Bartelstein.
And free agent guard Stephon Marbury said he would like to re-sign with the Celtics if he is offered a fair deal. Marbury will be an unrestricted free agent beginning Wednesday and is excited about the possibility of making a title run again next season.
‘‘I’m not trying to get a bunch of money,’’ Marbury said. ‘‘I know Boston doesn’t have a bunch of money. I’m not seeking out teams with more money. I want to play for a championship-contending team. I can’t play for a young team that’s not in a position to compete for a championship.