Why has the weakness of the parliamentary dimension in the extensive array of soft governance practices that have exploded in the European Union (EU) since the turn of the century gone largely unnoticed? Is that weakness a problem for input legitimacy and, if so, to what extent can it be overcome by compensating with other, non-parliamentary channels of legitimacy? An argument from accountability will be put forward, according to which strengthening the parliamentary dimension is inescapable if democratic legitimacy is to be respected, though civil society and stakeholder involvement are also increasingly necessary as well in a complementary role. The article will explore some suggestions about how this can be achieved.