The oral cavity is an epidemiologically relevant route of viral transmission due to the shedding of viruses in saliva. With advancements in salivary diagnostics, an increasing number of viruses have been detected. However, the anatomic source of virus in saliva is still largely unknown. Some viruses have a well-established tropism for the salivary glands (SGs), and recent studies have emphasized the importance of the glands as potential reservoirs for infectious viruses. Viral infections of the SGs have been linked to acute and chronic SG pathology and may be associated with SG dysfunction, with phenotypes similar to those seen in SjÖgren’s disease (SjD), an autoimmune condition that affects the salivary and lacrimal glands. Understanding the breadth of viruses that infect the SG and the conserved or distinct host responses to these infections may provide insights into the pathogenesis of virus-mediated SG diseases. There is a need for further research to fully understand the molecular mechanisms by which viruses enter and replicate in the glands, their physiologic impact on SG function, and whether the SGs can serve as a long-term reservoir for infectious viral particles. The purpose of this review is to highlight a group of viruses that infect the salivary gland: hepatitis C virus, hepatitis D virus, severe acute respiratory syndrome coronavirus 2, enteric viruses, human T-cell leukemia virus type I, human immunodeficiency virus, human cytomegalovirus, and BK polyomavirus. We focus on the effects of viral infection on salivary gland (SG) inflammation, function, and its association with SjD.