A hearing device, e.g. a hearing aid, adapted for being arranged at least partly on a user's head or at least partly implanted in a user's head, the hearing device comprising • an input unit for providing a multitude of electric input signals representing sound in an environment of the user, the input unit comprising ∘ at least one first input transducer (IT1; M BTE; M BTE1, M BTE2; IT11, IT12) for picking up said sound user and providing respective at least one first electric input signals (IN BTE; IN BTE1, IN BTE2; IN11, IN12), the at least one first input transducer being located at a first location away from an ear canal of the user; ∘ a second input transducer (M ITE; IT2) for picking up said sound and providing a second electric input signal (IN ITE; IN2), the second input transducer being located at or in an ear canal of the user; • an output unit comprising an output transducer for converting a processed electric signal representing said sound to a stimulus perceivable by said user as sound, and CHARACTERIZED IN THAT the hearing device further comprises • a near-field beamformer applied to said at least one first and said second electric input signals and implementing a feedback suppression system (FBE, +) for suppressing feedback from said output unit to said at least one first input transducer (M ITE; IT2), and comprising an adaptation unit for modifying the second electric input signal (IN ITE; IN2) in approximation of an acoustic transfer function, or an impulse response, from the second input transducer (M ITE; IT2) to the at least one first input transducer (IT1; M BTE; M BTE1, M BTE2; IT11, IT12) and providing a modified second electric input signal (FB EST) representative of an estimate of said feedback, wherein the adaptation unit is configured to a) attenuate the level or magnitude of the second electric input signal corresponding to an attenuation provided by an acoustic propagation path of sound from the second to the at least one first input transducer, and b) delay the second electric input signal corresponding to a delay of said acoustic propagation path of sound from the second to the at least one first input transducer. • an input unit for providing a multitude of electric input signals representing sound in an environment of the user, the input unit comprising ∘ at least one first input transducer (IT1; M BTE; M BTE1, M BTE2; IT11, IT12) for picking up said sound user and providing respective at least one first electric input signals (IN BTE; IN BTE1, IN BTE2; IN11, IN12), the at least one first input transducer being located at a first location away from an ear canal of the user; ∘ a second input transducer (M ITE; IT2) for picking up said sound and providing a second electric input signal (IN ITE; IN2), the second input transducer being located at or in an ear canal of the user; ∘ at least one first input transducer (IT1; M BTE; M BTE1, M BTE2; IT11, IT12) for picking up said sound user and providing respective at least one first electric input signals (IN BTE; IN BTE1, IN BTE2; IN11, IN12), the at least one first input transducer being located at a first location away from an ear canal of the user; ∘ a second input transducer (M ITE; IT2) for picking up said sound and providing a second electric input signal (IN ITE; IN2), the second input transducer being located at or in an ear canal of the user; • an output unit comprising an output transducer for converting a processed electric signal representing said sound to a stimulus perceivable by said user as sound, and CHARACTERIZED IN THAT the hearing device further comprises • a near-field beamformer applied to said at least one first and said second electric input signals and implementing a feedback suppression system (FBE, +) for suppressing feedback from said output unit to said at least one first input transducer (M ITE; IT2), and comprising an adaptation unit for modifying the second electric input signal (IN ITE; IN2) in approximation of an acoustic transfer function, or an impulse response, from the second input transducer (M ITE; IT2) to the at least one first input transducer (IT1; M BTE; M BTE1, M BTE2; IT11, IT12) and providing a modified second electric input signal (FB EST) representative of an estimate of said feedback, wherein the adaptation unit is configured to a) attenuate the level or magnitude of the second electric input signal corresponding to an attenuation provided by an acoustic propagation path of sound from the second to the at least one first input transducer, and b) delay the second electric input signal corresponding to a delay of said acoustic propagation path of sound from the second to the at least one first input transducer.