Is it normal to have pressure between my eyes with sinusitis?

You bet.: Yes, pressure between your eyes, or above your eyes, or below your eyes or behind your eyes. That sinusitis monster can come at you from all sides, depending on where it decides to sit and fester. Between the eyes probably the ethmoid and/or sphenoid sinuses; above the eyes, the frontal sinuses and below the eyes the maxillary sinuses. A Google search will get you to some pictures of them.

Sinus problem: Sinus problems can produce pressure sensation in that area.