One aspect of the teachings presented herein provides advantages for sending precoder selection feedback from a transceiver to another transceiver, for use by the other transceiver as precoding recommendations. The transceiver generates two types of precoder selection feedback, where one type uses a smaller signaling payload than the other and therefore provides a distinct reduction in the signaling overhead associated with reporting precoding recommendations. The transceiver uses the reduced-overhead type of reporting when reporting at certain times, or on certain channels, or in response to control signaling. In one example, a UE in an LTE network sends precoder information to an eNodeB on the PUCCH by sending smaller-range index values that index only a subset of precoders, but sends full-range index values when reporting on the PUSCH, which index a larger set of precoders.