New social risks have arisen due to the deepening of global labour division and the invasion of digital technologies into the production of goods and the delivery of services, but also due to changing preferences and individual work capacities over the life course. As these risks are not only connected with unemployment but also with income volatility due to critical life-course transitions (in particular, between family work and labour-market work, lifelong learning and employment), the need to extend unemployment insurance (UI) towards a system of employment insurance becomes evident. This argument is developed by focusing on the investment character of social insurance against the mainstream view of moral hazard related to any insurance, and by providing good practices or opportunities from various European member states.