I hope that you will mention it to a doctor.
The thing that came to my mind was vertigo. My husband had a case of benign vertigo recently and it hit him all of the sudden and it was like the world was spinning. It was different that being dizzy exactly. He ended up pale as a ghost and some people thought he may be having a heart attack or stroke as it was so frightening for them at work. He ended up seeing an emergency doctor who ruled out other issues. I would strongly suggest that letting a doctor rule it out for you may also be a good idea.
Vertigo can be viral so could be related to your bronchial infection, it can last for several months and can be debilitating.
I have no idea if this is what you felt but again, please mention it to a doctor.