TURBO-BLAST is a novel multi-transmit multi-receive (MTMR) antenna scheme for high-throughput wireless communications. It exploits a novel space-time coding scheme based on the independent block forward error correction (FEC) codes and space-time interleaving, and a near optimal iterative decoder, for decoding a new generation of space-time codes. The proposed iterative decoder has two decoding stages: a soft interference cancelation detector and a set of soft-in soft-out decoders. In this paper, we focus on designing a robust parallel interference cancelation scheme that jointly estimates the soft interference and the linear beamformer weights to minimize the mean-square error (MMSE) between the true and estimated signals. Using simulation results, we show that the proposed scheme outperform the previously proposed soft interference cancelation receivers based on maximum ratio combining (MRC) principle.