A method manages hysteretic DC-DC buck converters each including a hysteretic comparator operating according to a respective hysteresis window. The method includes, in a given converter, verifying if a respective feedback voltage reaches a lower threshold in order to enter a switch-on period of the converter, The method comprises: while the verifying indicates that the lower threshold is not reached, detecting if another converter has entered a respective switch on period and, in the affirmative, entering a hysteresis voltage adjustment procedure, include increasing by a given amount the amplitude of the hysteresis window of the given converter by reducing the lower threshold of the hysteresis window.