An embodiment is directed to switching between server-arbitrated group communication sessions at an access terminal (AT) within a wireless communications system. The AT participates in a first group communication session when it receives an announce message announcing a second group communication session, acquires priority levels for the first and/or second group communication sessions and determines whether to switch between sessions based on the priority level(s). In another embodiment, the AT participates in a given processing task (e.g., a gaming session, a voice call, a group session, etc.) when it receives an alert that relates to a group communication session. If the alert is specially configured to force the given access terminal to drop the given processing task, the AT drops the given processing task irrespective of whether the AT later joins the announced group communication session.