This paper introduces a novel time-frequency masking approach for speech enhancement, based on the consistency of the phase of the cross-spectrum observed at multiple microphones. The proposed approach is derived from solutions commonly adopted in spatial source separation and can be used as a post-filter in traditional multi-channel speech enhancement schemes. Since it is not based on a modeling of the coherence of diffuse noise, the proposed method complements traditional post-filters implementations, targeting non diffuse/coherent sources. It is particularly effective in domestic scenarios where microphones in a given room capture interfering coherent sources active in adjacent rooms.An experimental analysis on the DIRHA-GRID corpus shows that the proposed method considerably improves the signal-to-interference-ratio and can be used on top of state-ofthe-art multi-channel speech enhancement methods. Index Terms: speech enhancement, microphone array, postfilter. R r=1 hm,r * ir(t) + ηm (t) (1)