I think the main problem with dizziness comes from keeping your eyes too low. Note if you just stand normally and keep your head straight you can look as low as the floor 5 feet in front of your toes or as high as the ceiling!
When done properly, WV feels like going mostly in straight lines, there is not much of a rotary feeling to it.
But when you're just starting out, it's hard to do it correctly right away. So what really helped me is to look at the line where the ceining meets the walls. If you're looking too low, at the walls, they are "going too fast" and you get dizzy. Try looking higher. You don't need to lift your chin up more than you should, just do it with your eyes.