Not all vertigo is caused by sinuses. The most common cause of vertigo is (Benign Paroxysmal Positional Vertigo), which is caused by calcium crystals floating in the inner ear.
Because the sinuses are located near the inner ear, the inflammation and pressure from an infection can disrupt your body's delicate balance centers. How a Sinus Infection Triggers Vertigo can sinus infection cause vertigo
The short answer is —sinus infections (sinusitis) can indeed cause vertigo. However, it is important to understand that sinus-related vertigo is different from other types of dizziness. Not all vertigo is caused by sinuses