The entrepreneurship literature has exposed some of the most influential antecedents of innovative entrepreneurship. Prior research has also identified crucial features of migrant entrepreneurship. This article employs lessons from these two areas and draws on social cognitive theory to explore the main drivers of innovative ventures among migrants. We center the attention on entrepreneurs, differentiating them between two management strategies: imitation or innovation; and we study the role of perceived self-efficacy, prior entrepreneurial experience, and social capital into the likelihood of acting innovative. For our empirical analysis, we primarily use data from the Global Entrepreneurship Monitor for three years covering 2016-2018 and gathering 5713 observations of early-stage entrepreneurs from Chile. Our estimations show that being a migrant is in itself an insufficient condition to influence seeking substantial differentiation from what is traditionally offered in the local market; instead, we confirm that a migrant who feels capable of successfully starting a business will be likely to conduct innovative entrepreneurship. Contributions of these findings for theoretical and practical advances of the field are discussed.