The present invention concerns the use of at least one compound A comprising at least one —SH or —S−, M+ group, at least one —C-G-C— chain, in which G represents an atom from column 16 of the periodic table, not comprising a carboxy group —C(═O)—OH or —C(═O)—O−, and of a molar mass of between 90 g·mol−1 and 1000 g·mol−1, as an additive in a formulation inhibiting corrosion in metals used in the oil industry, and more generally in any kind of industry involving the drilling of ores or fossil compounds, such as gas or oil, in order to improve both the anti-corrosion performance and the storage stability of same. The invention also concerns said corrosion-inhibiting formulations comprising at least one compound A.