Climate risks present a substantial challenge to sovereign debt sustainability and fiscal space. The economic costs associated with mitigation efforts and physical damages can hinder growth, making sovereign debt repayment more difficult. An effective measure for capturing these phenomena is the so-called fiscal limit: the maximum debt-to-GDP ratio that can be sustained without incurring default risk. This paper calculates fiscal limits for 31 advanced economies under various transition scenarios. Three main results emerge from the analysis. First, the impact of greenhouse gas emission reductions, aligned with Paris Agreement carbon budgets, lowers fiscal limits in the short term. However, it does not generally determine whether a country shifts from sovereign debt sustainability to unsustainability, except when inefficiently managed for some high-debt economies, such as Italy. Additionally, the emission reduction trajectory depends on the objective of the government maximization programme (welfare vs. debt sustainability) and this affects fiscal limits. Finally, accounting for climate damages and global coordination in the transition appears critical. Without collective efforts to reduce emissions and mitigate climate damages, fiscal limits are projected to decline sharply over the long term for all countries, including those making successful transition efforts. These findings emphasize that the only viable path to maintaining sustainable debt is a global, collaborative, well managed, and timely transition.