We previously proposed a Two-Stage BinAural Speech Enhancement with Wiener Filter (TS-BASE/WF) approach for hearing aids in adverse environments [6]. In TS-BASE/WF, the interfering signal is estimated by cancelling the target signal through an adaptive filter in the first stage and a timevariant Wiener filter is applied to enhance the target signal in the second stage. In this paper, we introduce an interference compensation approach, which is applied to the adaptive-filter output, to further improve the estimation accuracy of the interfering signal. The performance of TS-BASE with different speech enhancers is then investigated in different conditions. Experimental results show that the improved TS-BASE algorithms with interference compensation outperform the original TS-BASE algorithms, and that TS-BASE/WF gives the higher speech enhancement performance over the improved TS-BASE algorithms with other speech enhancers. Index Terms— TS-BASE, Adaptive filter, Interference compensation, Speech Enhancer.