You might have an ear infection, maybe a virus? I had this once and it took about 6 weeks to clear. I went to my GP, who had me quickly turn my head back and forth. My eyes kept moving! If you have something similar to what I had, there's no treatment. To drive, I had to pay attention to my head movements, and move slowly.

You should see your GP anyway, as there are some treatable conditions that cause strange eye movements.

As far as MS goes, I get waves of dizziness occasionally, but mostly after I've taken Zanaflex...and I'm ready for bed anyhow...