A hearing aid comprising • a forward path comprising ∘ a multitude of input units for providing a multitude of electric input signals IN i, i=1,..., M, representative of sound, ∘ a multi input beam former filtering unit (BFUa, BFUb) for providing a beam formed signal Y BF from said multitude of electric input signals, ∘ a gain unit for applying a hearing aid gain G HA to said beam formed signal Y BF, and providing a processed signal Y' G, and ∘ an output unit for providing stimuli perceivable by a user as sound based on said processed signal or a signal derived therefrom, the hearing aid further comprising • a gain control unit (CONT) for limiting said hearing aid gain G HA to a modified full-on gain value G' FOG, • wherein the multi input beam former filtering unit (BFUa, BFUb) is configured to apply a current frequency dependent directional gain G DIR,i to each of said multitude of electric input signals IN i, CHARACTERIZED IN THAT the gain control unit is configured to control the beam former filtering unit in dependence of a current full on gain margin ΔG FOGm, ΔG FOGm being a difference between a previously determined full-on gain value G FOG and the sum of the current hearing aid gain G HA and the maximum value G DIR,max of the current directional gains ΔG FOGm, and wherein the gain control unit (CONT) is configured to determine the modified full-on gain value G' FOG in dependence of said current directional gains G DIR,i, i=1,..., M, and the previously determined full-on gain value G FOG. • a forward path comprising ∘ a multitude of input units for providing a multitude of electric input signals IN i, i=1,..., M, representative of sound, ∘ a multi input beam former filtering unit (BFUa, BFUb) for providing a beam formed signal Y BF from said multitude of electric input signals, ∘ a gain unit for applying a hearing aid gain G HA to said beam formed signal Y BF, and providing a processed signal Y' G, and ∘ an output unit for providing stimuli perceivable by a user as sound based on said processed signal or a signal derived therefrom, ∘ a multitude of input units for providing a multitude of electric input signals IN i, i=1,..., M, representative of sound, ∘ a multi input beam former filtering unit (BFUa, BFUb) for providing a beam formed signal Y BF from said multitude of electric input signals, ∘ a gain unit for applying a hearing aid gain G HA to said beam formed signal Y BF, and providing a processed signal Y' G, and ∘ an output unit for providing stimuli perceivable by a user as sound based on said processed signal or a signal derived therefrom, • a gain control unit (CONT) for limiting said hearing aid gain G HA to a modified full-on gain value G' FOG, • wherein the multi input beam former filtering unit (BFUa, BFUb) is configured to apply a current frequency dependent directional gain G DIR,i to each of said multitude of electric input signals IN i, CHARACTERIZED IN THAT the gain control unit is configured to control the beam former filtering unit in dependence of a current full on gain margin ΔG FOGm, ΔG FOGm being a difference between a previously determined full-on gain value G FOG and the sum of the current hearing aid gain G HA and the maximum value G DIR,max of the current directional gains ΔG FOGm, and wherein the gain control unit (CONT) is configured to determine the modified full-on gain value G' FOG in dependence of said current directional gains G DIR,i, i=1,..., M, and the previously determined full-on gain value G FOG.