A method for self-testing a monitoring device monitoring an integrity status of an elevator suspension member arrangement includes the monitoring device having a voltage generation arrangement for generating electric voltages and applying the electric voltages to cords in suspension members of the suspension member arrangement. The monitoring device has a voltage analyzer arrangement for detecting a deterioration in the integrity status based on modifications in the applied electric voltages upon transmission through the cords. The method includes the steps of: specifically modifying the generated electric voltages to systematically induce modifications in the applied electric voltages upon transmission through the cords which, under normal operation conditions of the monitoring device, would be interpreted by the monitoring device as indicating the deterioration in the integrity status; verifying whether the deterioration in the integrity status is correctly detected; and initiating a self-test-failure-action if the deterioration in the integrity status is not correctly detected.