A lesion in the right cerebral hemisphere (RH) interferes with verbal communication, and specifically with the semantic processing of words. However, the reported impairments of the semantic processing of words among right-hemisphere-damaged (RHD) individuals are usually seen when the task is especially demanding, probably because this is when most processing resources are required. The goal of this article is to discuss some of the conceptual and methodological issues regarding the possible role played by cognitive resource limitations in accounting for the RH's contribution to verbal communication abilities. To this end, this article reviews the literature on the concept of cognitive resources and on their evaluation. Discussion focuses on the possibility that the RH's contribution to verbal communication abilities is, at least in part, the expression of the complementary and necessary contribution of the RH to the pool of attentional resources needed for the most effortful cognitive processing.