To be justifiable, the demands of a conception of human rights and global justice must be such that (a) they focus on the protection of important human interests, and (b) their fulfilment is feasible. I discuss the feasibility condition. I present a general account of the relation between moral desirability, feasibility and obligation within a conception of justice. I analyse feasibility, a complex idea including different types, domains and degrees. It is possible to respond in various ways if the fulfilment (...) of basic socioeconomic human rights against severe poverty seems at first to be infeasible. (shrink)