The disclosure relates to a heart support system with at least one system unit that includes a pump arrangement, a first connection apparatus connected to the pump arrangement and a second connection apparatus connected to the pump arrangement, wherein the pump arrangement has a first pump that is fluidically connected in a first flow path between the first and the second connection apparatus. The pump arrangement further has an intermediate reservoir and a second pump, which are connected in series together with the first pump in the first flow path, wherein the intermediate reservoir is fluidically arranged between the first pump and the second pump. The disclosure further relates to a cannula arrangement for a heart support system of this kind and a corresponding use of the heart support system.