An access network (AN) periodically broadcasts, to at least one user equipment (UE) served by the AN, a message requesting the at least one UE, whenever the at least one UE determines to perform a given type of transmission, (i) to measure a reverse-link channel upon which the transmission is to be performed, and (ii) to include results of the measurement within the transmission. A given UE receives the periodically broadcasted message from the AN and determines to perform the given type of transmission. The given UE refrains from measuring the reverse-link channel, as instructed by the AN, based on the data being associated with a communication session of a given type. The given UE transmits the data to the AN. If the data transmission omits the requested measurement results, the AN selects a transmission format for subsequent transmissions of the given UE based on the omission.