Out of all the Symptoms thrown up from the subconscious mind to and anxious person's conscious mind, I've always found dizziness to be the scariest. And if you've ever had it to the point where it resembles actual vertigo, you know how terrifying it can actually be. What's to say that it isn't going to go away? Maybe this is some sort of short circuit in my brain and this is the way I am now? To me, the dizziness part of anxiety has always been the "shit's getting real now" part, and the panic attacks, in the past, would arrive soon after.
In reality, the dizziness brought on by an anxious episode can be a result of numerous things, like;
1.Stacked up emotional trauma: Something has happened recently or in the past that you're not dealing with. Your subconscious mind is sending up these signals (in the form of dizziness) to get your attention to deal with it. Whatever the trauma may be, you need to dig in with your therapist and coach and get to the bottom of it.
2. Shallow Breathing: When you're in a state of anxiety or panic your breathing will automatically become more shallow as your fight or flight response prepares for danger and as a result, the lack of oxygen can result in dizziness. That's why it's always so important to focus on your breathing when you feel these anxious episodes coming on. And stay grounded! try a body scan meditation and sit down and get yourself close to the earth. When you're anxious mind and body feel grounded, these symptoms will begin to dissipate.
3. Blood Sugar Blood Sugar Blood Sugar! Make sure that you're eating every 2-3 hours. Smaller meals, and protein and good fats are your friends. Also, stay away from sugar if possible. In fact, sugars eaten after a meal of protein and complex carbohydrates can contribute directly to dizziness. 
The main thing to remember when you're getting the dizzy spells is that they're only temporary. As unpleasant as they are, they will pass. You are safe, you are loved and...  
You're Not Alone.  
by Lucas Renshaw
RIC/CBT Anxiety Life Coach