I don't know if it is allowed but if you can take a dramamine the night before you may find that fixes your problem. I worked on a charter boat for quite a while and it was the only thing that worked. Only drawback was I slept like a log and rolling out at 4 am was a drag but it kept me from "chumming" I also always had tums in my pocket just in case it was especially rough.
However, your dizziness may indicate an inner ear problem - worth having check out.