Methods and systems for fast convergence. One embodiment includes the following steps: extracting a digital representation of a common mode signal of a received differential signal sent by a transceiver, and generating, by a fast-adaptive mode-conversion canceller (FA-MCC), a compensation signal to mitigate differential interference; feeding the received differential signal to at least one of the following: a digital equalizer, and a digital canceller (DEDC); wherein the FA-MCC and the DEDC feed a slicer; responsive to receiving an indication that a serious differential interference has occurred, indicating the transceiver to transmit known data; and utilizing the received known data for improving the accuracy of the slicer's errors, which enables rapid adaptation of the FA-MCC to a level that mitigates the serious differential interference and enables requesting retransmission of erred packets fast enough to maintain a fixed rate of data transmission over a 2-millisecond window.