The healthcare sector as a whole has a high administrative burden. Whether through doctors, nurses, laboratories, financial departments, accounting, pharmaceutical departments, among other entities, it is essential that everyone connects to monitor the patient. However, the administrative burden associated with these processes is extremely high which makes the tasks of the health sector more difficult to carry out. It is in this sense that the implementation of a technology such as Robotic Process Automation (RPA) allows all these routines but necessary tasks to be performed by capable software "robots" that respect rules that will allow to respond to all needs. It was found in the literature that there are few works related to the implementation of RPA in medical and healthcare services. The objective of this work is focused on a literature review to identify how RPA contributes to medical and health services in a context of sustainability. This work analyzes some studies available in the literature, analyzing them from the perspective of the Triple Bottom Line (TBL) related to environmental, social and economic effects. Regarding the results of this study, it appears that there is still a lot of room to improve research in this area, for example, with regard to the development of implementation models, governance and also to optimize the efficiency of RPA, in medical and healthcare administrative services, taking into account the TBL of the concept of sustainability.