Polyamory means having a sexual and/or intimate relationship with more than one person at a time. In this study, we use in-depth interviews with 22 persons in Sweden who have experience of polyamorous or non-monogamous relationships to explore how polyamory can include imagining utopian relationships and spaces. Thematic analysis was done which indicated narratives of politically invested attempts to create communal living or societal change that resists capitalist and heteronormative nuclear-family arrangements as well as stories of everyday events that do not explicitly involve political ambitions. The range of utopian dreams and practices of the non-monogamous participants in our study, we argue, are examples of what Munoz calls concrete utopias, filled with joy and laden with disappointment in the face of potentiality and reality.