We study the impact of school closures during the COVID-19 pandemic on the time allocated to paid and unpaid work within households. We use panel data from 27 EU countries and isolate the impact of school closures by comparing parents and non-parents. We find no evidence that school closures had a disproportionate impact on women or men. Women and men reduced the time spent on paid work and increased the amount of time spent on household chores and leisure in roughly equal amounts. These findings do not confirm the common concern that school closures increased the care burden for women.