Method of managing a reversible indirect air-conditioning circuit for a motor vehicle, including a first refrigerant fluid loop in which circulates a refrigerant fluid and comprising a first dual-fluid heat exchanger arranged conjointly on the first refrigerant fluid loop and on a second heat-transfer fluid loop in which circulates a first heat-transfer fluid, the first dual-fluid heat exchanger being disposed so as to enable exchanges of heat between the first refrigerant fluid loop and the second heat-transfer fluid loop, the first refrigerant fluid loop comprising, in in the direction of circulation of the refrigerant fluid: ∘ a compressor, ∘ the first dual-fluid heat exchanger, disposed downstream of said compressor, ∘ a first expansion device, ∘ a first heat exchanger intended to have passed through it a flow of air internal to the motor vehicle, ∘ a second expansion device, ∘ a second heat exchanger intended to have passed through it a flow of air external to the motor vehicle, and ∘ a pipe bypassing the second heat exchanger the second heat-transfer loop comprising: • an external radiator and an internal radiator disposed in parallel with one another, • a device for redirecting the first heat-transfer fluid coming from the first dual-fluid heat exchanger toward the external radiator and/or toward the internal radiator, and • a sensor of the temperature of the first heat-transfer fluid disposed downstream of the first dual fluid heat exchanger, said circuit being adapted to operate in accordance with: • a simple dehumidification mode derived from a cooling mode in which the interior flow of air is cooled and in which the interior flow of air is cooled and then heated before reaching the vehicle interior compartment, and • a total dehumidification mode, derived from the heat pump mode in which the interior flow of air is heated and in which the interior flow of air is cooled and then heated before reaching the vehicle interior compartment, characterized in that the reversible indirect air-conditioning circuit includes a central control unit connected to the sensor of the temperature of the first heat-transfer fluid and adapted to control the device for redirecting the first heat-transfer fluid, when the indirect air-conditioning circuit is in total or simple dehumidification mode the central control unit controls the device for redirecting the first heat-transfer fluid so that: • if the temperature measured at the level of the temperature sensor is greater than or equal to T72t + Y1, the first heat-transfer fluid is redirected both toward the internal radiator and toward the external radiator, where T72t is a temperature setpoint value of the first heat-transfer fluid at the level of the temperature sensor and Y1 is a temperature differential between 0.5 and 5°C inclusive, • if the temperature measured at the level of the temperature sensor is less than or equal to T72t - Y2, the first heat-transfer fluid is redirected only toward the internal radiator, where T72t is the temperature setpoint value of the first heat-transfer fluid at the level of the temperature sensor and Y2 is a temperature differential between 0.5 and 2°C inclusive. ∘ a compressor, ∘ the first dual-fluid heat exchanger, disposed downstream of said compressor, ∘ a first expansion device, ∘ a first heat exchanger intended to have passed through it a flow of air internal to the motor vehicle, ∘ a second expansion device, ∘ a second heat exchanger intended to have passed through it a flow of air external to the motor vehicle, and ∘ a pipe bypassing the second heat exchanger the second heat-transfer loop comprising: • an external radiator and an internal radiator disposed in parallel with one another, • a device for redirecting the first heat-transfer fluid coming from the first dual-fluid heat exchanger toward the external radiator and/or toward the internal radiator, and • a sensor of the temperature of the first heat-transfer fluid disposed downstream of the first dual fluid heat exchanger, • an external radiator and an internal radiator disposed in parallel with one another, • a device for redirecting the first heat-transfer fluid coming from the first dual-fluid heat exchanger toward the external radiator and/or toward the internal radiator, and • a sensor of the temperature of the first heat-transfer fluid disposed downstream of the first dual fluid heat exchanger, • a simple dehumidification mode derived from a cooling mode in which the interior flow of air is cooled and in which the interior flow of air is cooled and then heated before reaching the vehicle interior compartment, and • a total dehumidification mode, derived from the heat pump mode in which the interior flow of air is heated and in which the interior flow of air is cooled and then heated before reaching the vehicle interior compartment, • if the temperature measured at the level of the temperature sensor is greater than or equal to T72t + Y1, the first heat-transfer fluid is redirected both toward the internal radiator and toward the external radiator, where T72t is a temperature setpoint value of the first heat-transfer fluid at the level of the temperature sensor and Y1 is a temperature differential between 0.5 and 5°C inclusive, • if the temperature measured at the level of the temperature sensor is less than or equal to T72t - Y2, the first heat-transfer fluid is redirected only toward the internal radiator, where T72t is the temperature setpoint value of the first heat-transfer fluid at the level of the temperature sensor and Y2 is a temperature differential between 0.5 and 2°C inclusive.