Computer-mediated communication research focuses on media richness and naturalness in communication tools and their correlation for communication effectiveness. The underlying idea is that the more similar the medium is to face-to-face communication, the richer it is. The more equivocal a task in the organization is, the richer medium is required for communication. This approach has two problems. First, it focuses on the richness of the medium used not the process of communicating. Second, as for the medium, it is the support for richness that is expected, not their support for the process of communication. This paper presents a tentative Dialogue Model for Media that aims to support the communication process. The model is based on central elements that are required to support the communication process.