Abstract: This invention relates to a method of managing adaptive feedback cancellation in a hearing device comprising at least a microphone (1); a receiver (2); and a signal processing circuitry, configured to receive from said microphone (1) an input signal (Xtd, Xfd, Xc) and to provide said receiver (2) with an output signal (Yfd, Ufd, Utd). An external acoustic feedback path (300) defined by feedback sound (fb) traveling from the receiver (2) to the microphone (1) is represented by an external feedback path transfer function (3). The signal processing unit comprises at least a gain unit (4); a feedback canceller unit (5) comprising an adaptive filter element (6) configured to adaptively accommodate changes in said external acoustic feedback path transfer function (3); and a frequency shift unit (7) configured to stabilize an adaptation of the feedback canceler unit (5).