A process for optimizing the consumption of reducing agent in the form of ammonia in an exhaust line including first and second selective catalytic reduction systems, the second system being arranged downstream of the first system, being spaced apart by a spacing, a surplus of unused ammonia passing via the exhaust line, the temperature in the exhaust line at the second system being measured or estimated. When the temperature at the second system exceeds a first maximum value, or when a calculated rate of temperature rise is greater than a predetermined rate of rise, with the proviso that the temperature at the second system is greater than a second maximum value that is less than the first maximum value, forced cooling is carried out in the spacing between the first and second systems.