Yes, a sinus infection (sinusitis) or inflammation can cause a toothache — especially in the upper rear teeth, which are close to the sinuses.In fact, pain in the upper teeth is a fairly common symptom with sinus conditions. If you have a persistent toothache, first consult your dentist for an exam.es, a sinus infection (sinusitis) or inflammation can cause a toothache — especially in the upper rear teeth, which are close to the sinuses.