A switching converter converts an input signal to a regulated output signal using a switch and a transformer with a primary winding and a secondary winding. A wake up management circuit receives a transformer demagnetization signal and forces by wake up pulses the switch on when the switching converter operates in a burst mode. Sampled values of the transformer demagnetization signal are received. A setting circuit sets a first peak value of the current of the primary winding. A comparison circuit compare the sampled values with a voltage threshold and the preceding sampled value. In response thereto, the first peak value of the primary winding current is either maintained or a new peak value is set.