An increasing amount of research has examined the management of competing logics, and possible tensions arising between them, within “hybrid organizations.” However, the ways in which the relationships of hybrids with other organizations shape the conciliation of these logics and tensions have received limited attention so far. In this theoretical paper, we examine how hybrid organizations deal with interorganizational collaboration, in particular whether and how their hybridity can be maintained when they partner with “dominant-logic organizations.” Drawing on empirical literature on social enterprise–corporate collaborations, we develop a framework and several propositions on how competing logics and their balancing within hybrid organizations may be affected by interactions with organizations underpinned by one dominant logic. We suggest that influences will mostly depend on the type of collaboration pursued. A collaboration based on a lower level of engagement and interaction between the two partners is likely to give precedence to one logic over the other, reducing inter-logic tensions but possibly compromising organizational hybridity. By contrast, a collaboration featuring numerous interactions and mission compatibility may facilitate sustained hybridity if tensions are acknowledged and managed. Our propositions contribute to the literatures on hybrid organizations, interorganizational collaboration, and social enterprise.