Background: Poland is witnessing a migration crisis caused by the ongoing military conflict in Ukraine. In addition to housing and necessities, 1.8 million Ukrainians that had taken refuge in Poland must have access to medical care. We aim to propose a strategy for implementing the changes in the Polish health care system in response to the Ukrainian refugee crisis. Methods: A literature review on organizational changes in the functioning of health care systems during the migration crises worldwide in recent years and brainstorming in order to develop a strategy for implementing changes in the Polish health care system in response to the Ukrainian refugee crisis. Results: The proposed strategy for implementing the changes in the Polish health care system is based on building health care resilience and adaptation to different crises. The operational objectives of organization-related activities are: (1) preparation of medical facilities to provide help for refugees, (2) development and implementation of the communication system, (3) implementation of available digital solutions, (4) organization of the diagnostic and medical services, (5) and implementation of changes in the management of medical facilities. Conclusions: Urgent reorganization is required to respond to an unavoidable increase in the demand for health care services.