Yes, it maybe infected and if you do nothing about it it may actually travel to your brain. I'm not kidding get it taken care of! An abscessed tooth leaves a bad taste in your mouth because there is puss oozing out a little at a time and it has a acidic taste to it. If the abscess is in a molar (your flat teeth at the back for chewing) it can also cause infection in the ear canals and this could be the reason you feel dizzy. It's highly advisable as the above poster stated to get it looked at immediately by your dentist.
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An abscessed tooth can affect many other parts of the body, especially the ear, nose and throat areas. Since the inner ear is directly related to balance, a severely infected tooth could cause dizziness.
An abscessed tooth can spread to become an inner ear infection. That can make you dizzy. The infection can also press on nerves in the head, causing dizziness as well. High temperature and fatigue from it can make you dizzy too.