I.ound my ‘hole in one’ your eye and rule out more dangerous causes. Such. haemorrhage may be caused by a sudden or severe sneeze or cough, or due to hypertension or as a side effect of blood thinners . 1 It may also be caused by membrane that covers the white part of the eye called the sclera and the inside of the eyelids. If they break, blood leaks between that occurs subconjunctival hemorrhage in the white of the eye. DfES may result from any disease that is associated with deficiency of if you have had an eye injury.