A method improves a picked-up signal in a hearing system. The hearing system has at least one hearing device, particularly a hearing aid. The hearing aid device has an associated first directional microphone that has an adjustable first directional characteristic with a preferential direction. The first directional microphone converts sound into a first signal that is adopted in the picked-up signal. A speech activity of a user of the hearing system is monitored, and recognition of a speech activity of the user prompts the preferential direction of the first directional characteristic to be adjusted in comparison with a frontal direction of the user such that the sound sensitivity of the first directional microphone undergoes attenuation in the frontal direction.