The document presents a Reduced Overhead Distributed Consensus-based Estimation (RO-DiCE) algorithm that significantly reduces communication overhead compared to the original DiCE algorithm. RO-DiCE avoids exchanging quantities between nodes in a unicast fashion like DiCE. The paper investigates RO-DiCE in terms of communication overhead, convergence behavior, and error rate performance for different network topologies, showing it is identical to DiCE for full mesh networks.