Indirect air conditioning circuit for a motor vehicle, comprising: • a first refrigerant-fluid loop (A) in which a refrigerant fluid circulates, the said first refrigerant-fluid loop (A) 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 (B) in which a heat-transfer fluid circulates, and • a two-fluid heat exchanger arranged jointly on the first refrigerant-fluid loop (A) downstream of the compressor , between the said compressor and the first expansion device , and on the second heat-transfer-fluid loop (B), so as to allow exchanges of heat between the first refrigerant-fluid loop (A) and the second heat-transfer-fluid loop (B), • 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 (A) 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 (A) in which a refrigerant fluid circulates, the said first refrigerant-fluid loop (A) 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 (B) in which a heat-transfer fluid circulates, and • a two-fluid heat exchanger arranged jointly on the first refrigerant-fluid loop (A) downstream of the compressor , between the said compressor and the first expansion device , and on the second heat-transfer-fluid loop (B), so as to allow exchanges of heat between the first refrigerant-fluid loop (A) and the second heat-transfer-fluid loop (B), • 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 (A) 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 . <EOS>