How can the cooperative business model originally contribute to the social and environmental transition issues? In which extent and in which manner the needs created by the demands of transition challenge the cooperative identity? Is CSR a lever that cooperatives can use to reveal their identity and account for their contribution to transition? Based on observations mainly from the French case, we show that the cooperative revival carried by multi-stakeholder cooperatives in particular opens up a new field of practices and creativity oriented towards transition. These dynamics shift the cooperative identity from a collective interest to a contribution to the common good. We then question the low recognition of these dynamics and more globally the low recognition of the contribution of cooperatives to the responsibilities of the enterprise and to the transition.