A hearing aid includes an input transducer for transforming an acoustic input signal into an electrical input signal, a processor for generating an electrical output signal by amplifying the electrical input signal with a processor gain, an output transducer for transforming the electrical output signal into an acoustic output signal, an adaptive feedback suppression filter for generating a feedback cancellation signal, and a model gain estimator generating an upper processor gain limit and for providing a control parameter indicating a possible misadjustment of the model.