The Los Angeles Daily News reported that Bryant is still a few weeks away from running 100 per cent on his own.
He was injured in April and recovery can take six to nine months.
The Lakers have announced that they have signed rookie power forward Ryan Kelly.
Kelly was taken by the Lakers in the second round of the draft out of Duke in June. He averaged 12.9 points, 5.3 rebounds and 1.6 blocked shots in his final season.
Brooklyn Nets point guard Deron Williams has told ESPN New York that he will be ready for the start of training camp October 1 despite having another MRI on his right ankle next week.
Williams, who said he was injured while working out in Utah more than two weeks ago, is in a walking boot because of a sprain and bone bruise.