A pump for the drawing-in of a fluid, including at least one centrifugal wheel having a fluid inlet edge and a fluid outlet edge, the pump further including an axial balancing system with a high-pressure flow space defined between the housing and an upstream face of the centrifugal wheel. The axial balancing system further includes a device for substantially increasing the hydrostatic pressure of the fluid circulating in the high-pressure flow space during operation of the pump.