In this paper, a complexity-reduced error propagation mitigation algorithm is presented by exploiting source-relay (S-R) correlation information with the limited channel feed-forward bits from the relay node to the destination node. The proposed idea employs the limited channel feed-forward bits as the S-R correlation information indicator and uses it for the iterative decoding at the destination node. Comparing with the conventional threshold-based S-R correlation estimation algorithm, the proposed algorithm can provide close bit error rate performance and omit the iterative S-R correlation estimation process at the destination node. Moreover, the results also show that the proposed algorithm outperforms some of the existing relaying protocols up to 1 dB gain.