The invention relates to a peristaltic system (50), which comprises at least two pumps (30, 30′) that can be separately actuated, each pump comprising a pump chamber (14) suited for receiving a fluid, a pump element (16) suited for suctioning and displacing a fluid into and from the pump chamber (14), two check valves (12, 12′), one of which (12) is in fluid connection with an inlet of the pump chamber (14) and the other (12′) is in fluid connection with an outlet of the pump chamber (14), and a valve (18) which is closed in the idle state of the pump (30, 30′) and in fluid connection with the check valves (12, 12′). The peristaltic system (50) further comprises a container (40) suited for receiving a fluid, the container being in fluid connection with an inlet of the one pump (30′) and with an outlet of the other pump (30) and flexibly designed at least in some regions such that the volume of the container depends on the volume of a fluid that is received. The invention further relates to a fluid delivery device (100), a pipetting device and a sleeve, which use such a peristaltic system (50), and to a method for operating such a peristaltic system (50).
