The invention relates to a method for correcting a model for determining the amount of reducing agent to inject for the selective catalytic reduction of nitrogen oxides contained in exhaust gases, which includes the following steps: determining an amount of reducing agent to inject based on the amount of nitrogen oxides emitted and an initial mathematical model; determining, by taking a measurement from the catalyst of the amount and/or nature of the gas, whether or not the reducing reaction is carried out under correct conditions; if an anomaly is detected, adjusting the amount of reducing agent to inject; and if the use of said method leads to a number of repeated adjustments of the same nature greater than a predetermined value N: the mathematical model is corrected, and the initial mathematical model is replaced by the corrected model.