The Bulls are using the salary-cap space to sign several free agents, including Pau Gasol.
Teams have until Thursday to make amnesty claims on Boozer, needing $1.448 million in cap space to enter a bid with the league office. The highest bid will get Boozer for the rest of the season and pay him a salary equal to the bid. The Bulls will be responsible for paying the balance of Boozer's $16.8 million.
The Charlotte Hornets have a strong need for a veteran power forward and scoring punch alongside center Al Jefferson and could be strong candidates to bid on Boozer, league sources said. If Boozer goes unclaimed, he'll become a free agent able to sign with any team except Chicago.
Boozer averaged 15.5 points last season for the Bulls.