The Covid-19 pandemic is deeply affecting every aspect of people daily lives around the world, both through the effects of the virus itself and the related mitigation measures put into place by governments. However, the impact of the virus is not equal within each society, as an increasing number of empirical studies show that its effects at the individual level exhibit a social gradient of health, a phenomenon known to characterize many public health outcomes. In this paper, we investigate the effect of the pandemic and related mitigation policies on social care need and supply, using a proof-of-concept agent-based model (ABM). This ABM simulates agents’ socioeconomic status, kinship networks, and heterogeneous behavioural responses to the pandemic. We propose that such models may help policymakers develop more effective policies to mitigate viral spread, that can take into account the unequal impact of the pandemic on individuals in different socioeconomic status groups. The social care outcomes in the model also illustrate that policy solutions aimed at controlling the pandemic may have substantial effects on the level of unmet social care need.