Though antimicrobial stewardship programs (ASPs) are required for hospitals, the involvement of transplant recipients in programmatic interventions, protocols, and metrics has historically been limited. Though there is a growing interest in studying stewardship practices in transplant patients, optimal practices have not been clearly established. A component of ASPs, antiviral stewardship (AVS), specifically targeting cytomegalovirus (CMV), has been more recently described. Understanding AVS opportunities and interventions is particularly important for transplant recipients, given the morbidity and mortality associated with viral infections, challenging clinical syndromes, ultrasensitive molecular diagnostic assays, antiviral resistance, and costs of viral disease and medications, as well as antiviral drug toxicities. This review highlights opportunities for AVS for CMV, EBV, HSV, VZV, SARS-CoV-2, respiratory syncytial virus, and BK polyomavirus in transplant patients.