In distributed systems, the order in which the messages are received by the processes is crucial to ensure the expected behavior. This paper presents a communication model which allows for restrictions on the deliveries of a channel depending on the availability of messages in other channels. This corresponds to prioritizing some channels over others. It relies on a framework able to verify if a given system satisfies a user defined LTL (Linear Temporal Logic) property with different priorities. We also propose to automatically infer the channel priorities so that the system does not infringe on this temporal property.