A method of operating a rinsing pump, for example, a peristaltic roller pump for use in endoscopy, which involves reducing a rinsing fluid flow rate to a safe flow rate when a detected electrical current exceeds a first predetermined current value, in which the first predetermined current value corresponds to a first predetermined limiting rinsing pressure. The method in part prevents an excessively high pressure in case of an unintended stenosis, e.g., kinking of the supply tube, or also intended stenoses, e.g., insertion of a narrow rinsing probe, by detecting an electrical current received by the pump by a current-measuring device.