Abstract: The fluid circulation device comprises a circuit (1) of the fluid to be pumped with a rigid cavity (1.2) closed off by a soft membrane (1.3) that cooperates with drive means (2) driven by a motor (3) in to-and-fro movements. The face of the drive means (2) intended to cooperate with membrane (1.3) is connected via a conduit (5) to a vacuum pump (4) able to apply by suction the membrane (1.3) against said face of the drive means (2), so as to create a rigid connection between the drive means (2) and said membrane (1.3) that then exactly follows the to-and-fro movements imposed by the drive means (2).