Dizziness CAN come from BP medication. Before dialysis, the job I had started about 6 am, and I had to be there at about 5:30 ino rder to get work assignments filled out for the crew. I could not eat that early, and every day about 10 I had to stop and eat something, usually a pack of Toastchee crackers and a soda. If I waited any longer I got shaky, dizzy and sometimes felt nauseated. It was because my sugar would bottom out. Eating solved the problem almost instantly. If eating does not help, I doubt that is your problem.
When I was in the hospital, they came to take me to a session just as lunch was coming, so I went without as they had previously said they did not want people to bring food to the dialysis ward. At the end of that session, I blacked out, fell against the machine and cut my head. That opened a whole new can of worms as far as testing, but the Dr who was overseeing my case in the hospital told me never to go again without eating, no matter what the people in the dialysis ward said.