The integration of migrants represents still a topical issue of difficult resolution across several countries. Demographic studies have uncovered the roles played by parental socio-economic background and by birth cohort in shaping prejudicial or tolerant attitudes toward immigrants. In this study, we use data from European Social Survey data, Rounds 1–10 (2002–2020). In particular, we make use of the question ‘Is the [country] made a worse or a better place to live by people coming to live here from other countries?’ to examine the influence of parental socio-economic background on respondents’ attitudes towards migrants. Moreover, we study whether this influence varies by birth cohort. Results of linear regression models including country-year fixed effects indicate that, on one side, individuals of recent decades of birth are more pro-immigrants while on the other, the gap in the parental class gradient has widened.