Solar geoengineering (SG) is considered a promising, albeit controversial, climate engineering technology to help reduce predicted global warming. However, the complexity of SG raises serious doubts about its political practicability. The objective of this article is to investigate this technology's feasibility, a fundamental dimension of said practicability. Feasibility is here understood as a political property: the higher the feasibility of a state of affairs ranks, the greater its eventual political practicability. According to this perspective, the less SG clashes with economic, institutional, and moral soft constraints, the more feasible it becomes, and hence the greater its political practicability. An analysis of economic and institutional soft constraints points to a high degree of SG feasibility. This feasibility is, however, limited by the perceived non-bearable moral costs which SG involves. Given the greater weight of moral soft constraints, SG's overall feasibility is therefore low. Based on these indications, the article offers suggestions for lessening SG's friction with soft constraints, especially with the highly sensitive moral ones, with the aim of increasing this technology's feasibility. On the basis of this heightened feasibility, the paper concludes with policy recommendations which improves the practicability of SG.