A method of conveying fluid in an apparatus for extracorporeal blood treatment is disclosed, wherein fluid is conveyed by a peristaltic pump from a low-pressure side to a high-pressure side, an elastically deformable fluid line arranged between the low-pressure side and the high-pressure side being deformed between a support surface and a rotor rotating with respect to the latter and having at least two pinch elements, wherein the pinch elements are repositioned at angles relative to each other during rotation of the rotor for causing pre-compression. A dialysis machine including a peristaltic pump conveying fluid from a low-pressure side to a high-pressure side, wherein the peristaltic pump is arranged to receive an elastically deformable fluid line between the low-pressure side and the high-pressure side and includes a support surface supporting the fluid line and a rotor is also disclosed, the rotor including at least two pinch elements each deforming the fluid line between itself and the support surface, wherein the pinch elements are formed to be repositioned at angles relative to each other in the direction of rotation.
