This paper explores how workers in the women-dominated public sector in Sweden speak about and make sense of gender and intragroup conflict and the consequences of this way of thinking and acting for gender equality at work. Using qualitative interviews with 26 first-level managers and employees, we introduce an analytical framework that employs critical discourse psychology and the conceptualization of a postfeminist sensibility at work. We identified three competing meanings (postfeminist storylines) of gender and intragroup conflict: Supporting the gendered meanings of conflict, Unawareness of conflict’s gendered meanings and Counteracting the gendered meanings of conflict. The welfare workers acknowledged the role of gender in intragroup conflicts but, paradoxically, constructed their own workplaces as gender neutral, without inequalities related to gender. We interpret these three postfeminist storylines as coping strategies; that is, as ways to make sense of the false promise of gender egalitarianism that characterizes the Swedish labour market.