This paper defends strong emissions sufficientarianism as an approach to assigning moral rights to generate greenhouse gas emissions. Strong emissions sufficientarianism holds that only subsistence emitting is morally permissible. This paper argues that, since it is uncertain how many subsistence emissions there will be, the present generation owes it to future generations to refrain from generating non-subsistence emissions, not to risk imposing on them a tragic choice between sacrificing themselves and contributing to very dangerous climate change. The paper also addresses the charge that emissions sufficientarianism, in general, is too permissive since it entails a right to contribute to very dangerous climate change. The overall message is that, given the moral urgency posed by climate change, there is little room for distributive principles besides emissions sufficientarianism. This casts doubt on the appropriateness of relying on carbon budgets in assigning rights to emit.