Purpose The purpose of this paper is twofold: first, to examine whether inspirational leadership of heads of specialized medical units is related to individual ambidexterity of their dependent physicians; and second, to study the possible mediating role of organizational learning capability (OLC) in the relationship between inspirational leadership and individual ambidexterity. Design/methodology/approach Structural equation modeling was used on a sample of 194 medical specialists from Spanish public hospitals. Findings Results show that inspirational leadership is positively related to individual ambidexterity among healthcare physicians. In addition, the results of the study revealed that the relationship between inspirational leadership and individual ambidexterity is mediated by conditions that facilitate learning, namely, OLC. Originality/value In stressing an evident gap in the relationship between leadership and ambidexterity at the individual level, this paper attempts to advance in the leadership literature by revealing how the action or power of moving the intellect or emotions, and enhancing enthusiasm and confidence, empowers physicians to both explore and exploit knowledge. The results also indicate that the inspiration transmitted by the heads of medical services, facilitate physician's perceived learning conditions which, in turn, fosters their individual ambidexterity.