Theories of liberal justice depend upon ideas of how much we can expect ordinary people to be motivated by the moral interests of others; there are limits to the motivational power of such notions as altruism and sympathy. This means, however, that the theories of justice we have may have difficulty in understanding how to rightly respond to the moral claims that might emerge in the face of widespread migration in response to climate change. This essay argues that liberal states may face a dilemma in response to this migration—one in which a state must do what cannot be justified toward either the migratory or the sedentary. This claim, further, might represent a new site of intergenerational injustice, in which future generations are given political problems to which our best theories of political justice can provide little assistance.