A Dr. Lee R. Duffner, MD , Ophthalmology, answered on behalf of American Academy of Ophthalmology's EyeSmart. Blue discoloration of the whites of the eyes is rare and occurs when there is abnormal thinning of the sclera, which is the white outer wall of the eye. Most cases of such blue discoloration occur in young children with rare severe congenital abnormalities of the musculoskeletal system.