In this paper, we focus on the reverberation depression in scenarios such as hand-free telephone and teleconference system applications. The combination of cross-relation based blind room impulse response (RIR) estimation and the p-norm based channel reshaping leads to this adaptive reverberation depression scheme. The normalized multi-channel frequency-domain least-mean-square (NMCFLMS) algorithm is used for RIR estimation and the p-norm optimization approach for channel reshaping. Simulations show that it is possible to establish such a post-processing system for reverberation depression. Listening tests verified that reverberation is hardly heard after channel reshaping.