Bryant, 35, has undergone several different procedures on his right knee since 2003.
The Lakers issued a statement on Thursday indicating that Bryant had left the country for an unspecified procedure and would be gone from training camp for several days.
Part of the thinking with pushing back the knee procedure until now, one source said, is the belief it will give him maximum benefit once he's able to return to play this season. It is still unclear how much longer he'll be rehabbing his Achilles before he's cleared to play for the Lakers this season.
Yahoo Sports NBA reporter Marc J. Spears contributed to this story.