This article deals with the transition to open access in Sweden, as part of the general transition to open science. Goals set by the Parliament and the government are discussed, as well as the strategies of the national Bibsam consortium, handling national deals with publishers, and of the Swedish Association of Higher Education Institutions. The development from the first stages in this process, where a main goal was to gain cost control, over a period with read-and-publish agreements to a situation where transformative agreements seem to tend to become permanent, is analysed. Finally, a number of possible scenarios for future developments are discussed, arguing for the need for university leadership to take an active part in the work towards a transition; it is not only an issue for individual researchers, or for librarians, but for the research community as a whole where universities are key players.