Jabari Brown was poked in the left eye during Monday's Summer League practice, and was examined on Tuesday by Dr. Steve Dinsmore.
Brown has been diagnosed with a small laceration in the conjunctiva, and will be examined regularly over the next several days.
The guard is expected to miss the Lakers' first two Summer League games, on Friday and Saturday in Las Vegas.
Brown led the D-League in scoring as a member of the D-Fenders before being called up by the Lakers late in the season.