"I'm confident it'll get done," agent David Falk told SI.com. "I guess (Boston) got (Brandon) Bass' (contract) done, which is great. Jeff is trying to get a sense of what the team looks like first before he makes a commitment, but I expect he'll be there and I expect it'll be done by the 11th."
The NBA's moratorium on free agent signings ends on July 11.
The SI report also said Green's deal could be as much as four years and $40 million. Green missed last season because of a heart condition. Falk indicated there was interest in Green from other teams.
Meanwhile, the Miami Heat have been courting Ray Allen. A Miami television station erroneously reported Thursday a deal was done to bring the shooting guard to Miami.
According to the Miami Herald, Allen met with Heat president Pat Riley and coach Erik Spoelstra, and had dinner with those two and other team officials on Thursday.