Indirect air conditioning circuit for a motor vehicle, comprising: • a first refrigerant-fluid loop in which a refrigerant fluid circulates, the said first refrigerant-fluid loop comprising, in the direction in which the refrigerant fluid circulates: ∘ a compressor, ∘ a first expansion device, ∘ a first heat exchanger intended to have passing through it a flow of air internal to the motor vehicle, ∘ a second expansion device, ∘ a second heat exchanger intended to have passing through it a flow of air external to the motor vehicle, and ∘ a bypass pipe bypassing the second heat exchanger, • a second heat-transfer-fluid loop in which a heat-transfer fluid circulates, and • a two-fluid heat exchanger arranged jointly on the first refrigerant-fluid loop downstream of the compressor, between the said compressor and the first expansion device, and on the second heat-transfer-fluid loop, so as to allow exchanges of heat between the first refrigerant-fluid loop and the second heat-transfer-fluid loop, • a first internal heat exchanger, allowing an exchange of heat between the high-pressure refrigerant fluid leaving the two-fluid heat exchanger and the low-pressure refrigerant fluid leaving the second heat exchanger or leaving the bypass pipe, characterized in that the first refrigerant-fluid loop also comprises a second internal heat exchanger allowing an exchange of heat between the high-pressure refrigerant fluid leaving the first internal heat exchanger and the low-pressure refrigerant fluid circulating in the bypass pipe. • a first refrigerant-fluid loop in which a refrigerant fluid circulates, the said first refrigerant-fluid loop comprising, in the direction in which the refrigerant fluid circulates: ∘ a compressor, ∘ a first expansion device, ∘ a first heat exchanger intended to have passing through it a flow of air internal to the motor vehicle, ∘ a second expansion device, ∘ a second heat exchanger intended to have passing through it a flow of air external to the motor vehicle, and ∘ a bypass pipe bypassing the second heat exchanger, ∘ a compressor, ∘ a first expansion device, ∘ a first heat exchanger intended to have passing through it a flow of air internal to the motor vehicle, ∘ a second expansion device, ∘ a second heat exchanger intended to have passing through it a flow of air external to the motor vehicle, and ∘ a bypass pipe bypassing the second heat exchanger, • a second heat-transfer-fluid loop in which a heat-transfer fluid circulates, and • a two-fluid heat exchanger arranged jointly on the first refrigerant-fluid loop downstream of the compressor, between the said compressor and the first expansion device, and on the second heat-transfer-fluid loop, so as to allow exchanges of heat between the first refrigerant-fluid loop and the second heat-transfer-fluid loop, • a first internal heat exchanger, allowing an exchange of heat between the high-pressure refrigerant fluid leaving the two-fluid heat exchanger and the low-pressure refrigerant fluid leaving the second heat exchanger or leaving the bypass pipe, characterized in that the first refrigerant-fluid loop also comprises a second internal heat exchanger allowing an exchange of heat between the high-pressure refrigerant fluid leaving the first internal heat exchanger and the low-pressure refrigerant fluid circulating in the bypass pipe.