No, it is abnormal. In general, our eyes do not roll when we are blinking because our eyes need to refocus every time we blink. So if it keeps rolling back after each blink, you need to see a doctor. A thumb rule that only the fittest survive requires every part of our body to work more efficient and save energy. However, such experience can exist when you reach REM sleep, so called Rapid Eye Movement sleep, and our eyes shift upward and move very quickly. As some tiny muscles around our eyes control the movements and lens' shape, once our eyes frequent roll back, they will fatigue and make you uncomfortable. Further, eyesight reduction aside, you may suffer some more serious eye diseases. Consult your doctor to see if you are all right.
