Lynnette,
Yes, I do think it is possible that the tinnitus can cause dizziness. I know that, when mine first started, I felt out of balance most of the time. I even had a few episodes of vertigo. Now, after 3 1/2 years, that situation has abated, and I haven't had any dizziness for quite some time now.
In the case of Meniere's Disease, vertigo is a major side effect of the disease. You could Google Meniere's Disease, and read about the symptoms, to see if there is any chance they match yours. If not, it could just be that having tinnitus has caused an imbalance that will be righted with time.