Despite rising healthcare costs, many health systems still fall short of patient and policymaker expectations for quality and efficiency. A major challenge is the integration of technological innovations, especially Artificial Intelligence (AI), into healthcare processes. AI has significant potential to improve clinical pathways, particularly in time-sensitive processes like stroke care, where every second counts. However, research on how to best utilize AI in these contexts remains limited. This paper examines the drivers for successful AI application in time-sensitive workflows, focusing on stroke care in Calabria, Italy. Using Business Process Model and Notation (BPMN), the study maps current workflows and analyzes potential AI interventions. Findings highlight the importance of systemic, integrated AI solutions that optimize entire workflows, offering actionable insights for the design of AI-enabled clinical processes that ensure timely, effective care.