Kuzma, who averaged 18.7 points and 5.5 rebounds a game last season for the Lakers, was hurt while he was the with the United States team in the run-up to the World Championships in China.
Kuzma was the last player dropped from the squad in August due to the injury.
The 24-year-old American is still rehabilitating and has not been cleared for full practice or game participation as the Lakers prepare to open training camp on Saturday.
Doctors are scheduled to give Kuzma an MRI exam when the Lakers return from playing pre-season games next month in China.
Teenage rookie guard Talen Horton-Tucker will also miss the first three weeks of Lakers training camp with a stress reaction in his right foot. His status, like that of Kuzma, will be updated once the Lakers return from China.
Another American rookie, forward Jordan Caroline underwent surgery on the fifth metatarsal bone of his left foot on September 6 and will be out 10 to 12 weeks.