"We are thrilled to have Kyle remain with the Jazz," general manager Kevin O'Connor said in a release Monday.
Korver averaged nine points per game last season, giving the Jazz an outside shooting threat off the bench. He shot 44 percent from the field and 38.6 from 3-point range. He has one year remaining on the contract the Jazz took off Philadelphia's hands in a trade midway through the 2007-08 season.
Boozer and Okur have until Tuesday to let the Jazz know if they want to make themselves free agents starting one minute past midnight, or play out the respective final years of their deals like Korver has chosen to do.
Sources tell ESPN Insider's Chad Ford there's a significant chance that Boozer will not exercise his player option and return to the Jazz next season. And the Salt Lake Tribune quoted Okur's agent, Marc Fleisher, as saying in Monday's editions that Okur is "leaning toward opting out."
Marc Stein is a senior NBA writer for ESPN.com. Information from The Associated Press was used in this report.