A central aspect of the invention relates to a method of enhancing speech, the method comprising the steps of, receiving noisy speech comprising a clean speech component and a non-stationary noise component, providing a speech model, providing a noise model having at least one shape and a gain, dynamically modifying the noise model based on the speech model and the received noisy speech, enhancing the noisy speech at least based on the modified noise model. Hereby is achieved a method of speech enhancement that is able to suppress highly non-stationary noise. Another aspect of the invention relates to a speech enhancement system that may be adapted to be used in a hearing system, such as a hearing aid or a headset.