Jamison played for the Los Angeles Lakers last season, averaging 9.4 points and 4.8 rebounds. He has been unabashed in his desire to play for a championship contender in the final years of a 15-year career in which he has averaged 18.8 points and 7.6 rebounds.
"I'm just happy to be a Clipper and contend for a championship," Jamison told ESPNLosAngeles.com.
The 37-year-old Jamison likely will surpass 20,000 career points early next season.
Jamison played through torn wrist ligaments for much of the second half of last season with the Lakers. He underwent surgery and expects to be 100 percent at the start of the season.