Welcome to neurotalk.

Everyone’s injury is different so it's hard to know if it’s from being out of shape or due to the injury. When I was in the hospital they had me do some exercise to restore some of my physical abilities under the watch of a therapist. This went OK, so they increased it, now I am able to exercise on the stationary bike or elliptical machine. I still get vertigo from looking up for too long or standing up too fast, so I’m just cognizant of my limitations and deal with it, and it hasn’t prevented me from exercising.

My suggestion would be to try some low intensity exercise and see how you feel and work it up from there as long as you don’t experience the dizzy spells.