Swedes uphold progressive attitudes regarding family, sexuality, and gender norms. At the same time, Sweden has had generous immigration policies for decades. This leads to challenges for children of immigrants, who must navigate between expectations from their family and the surrounding society. Therefore, this study asks whether children of immigrants’ attitudes relating to family, sexuality and gender roles adapt and approach those of their Swedish-background peers, using the Swedish branch of the CILS4EU survey (n = 5434). We account for dynamics in three ways: We compare attitudes of first- and second-generation immigrants; compare attitudes of youth to those of their parents; and study change in youth’s attitudes over time. In favour of acculturation, we find that second-generation immigrants have more liberal attitudes than first-generation immigrants, that immigrant-background youth are closer to majority peers in attitudes than their parents are to majority parents, and that gender norms of immigrant-background youth move closer to those of Swedish-background youth over time. For attitudes relating to family and sexuality, however, we find a divergence in attitudes over time, but not because immigrant-background youth become less liberal: Their views do become more liberal, but majority youth see an even stronger change in the same direction.