A device having under-run management capabilities and to a method for managing under-runs. The method includes providing, to a memory unit, channel information from multiple channels; allocating time slots for communication channel transmissions; the method is characterized by including: sending, during a time slot allocated for a transmission of channel information from an enabled communication channel, to the shift register channel information of an enabled communication channel, serially outputting the received channel information from the shift register towards a communication line while serially replacing the outputted channel information by a predefined content such that the shift register stores a communication channel disable code when an under-run occurs; defining a communication channel as a disabled communication channel once the under-run occurs; and transmitting, during a time slot allocated to a disabled communication channel, idle signals to the communication line.