By adopting a maturity model (MM) an organization aims ascending to a higher maturity level and, simultaneously, preserve the evolution attained thus, for this reason, is mandatory to prospect the trends for future. This article intends to address the organizational maturity concept, evolution shift perspectives and establish the current landscape by performing a bibliometric analysis aiming to detect trends and evidences of convergence. The purpose is the identification of opportunities for further study and to deepen the theoretical-scientific universe of the subject. Throughout a scrutiny of diverse data nucleus (databases), this paper supports the theory that there is increased interest from the academic community (including the occupational health and safety academic community) and entrepreneurial market on organizational maturity models (OMM’s) adoption. The pivotal fields are outlined in order to fulfill scholars, practitioners and managers’ information needs and expectations, as well the research behavior, which can booster forward-looking insights. Inasmuch, is stressed the urge for development of the safety management and related maturity as a research topic.