Generally speaking, it's possible to feel dizziness because of eye infection. Eye infection means the tissue surround the eye is caused by bacteria or virus. The eyes with infection would cause redness, irritation, tearing and itchiness. At the same time, it also causes vision problem and have fatigue of eyes. Your head will be affected to some way. Thus, your eye nerves will be affected. That is why you get the dizzy eyes. For this situation, you can apply a moist, warm washcloth on your eyes several times a day. Drink plenty of fluids to thin the mucus and intake oral antibiotics, decongestants and pain relievers to clear up the infections. In addtion, tan anti-infective medication such as antibiotic, antiviral, or antifungal will also be used to combat the underlying infectious agent. Anyway, you can just have a try and you will see changes.