Various aspects of the present disclosure generally relate to wireless communication. In some aspects, a user equipment (UE) may transmit, to a base station, a report indicating that a cooperative reception group including the UE and one or more other UEs connected to the UE over an out-of-band link supports one or more downlink transmit beamforming techniques. The UE may determine, based at least in part on the one or more downlink transmit beamforming techniques supported by the cooperative reception group, a downlink transmit precoder associated with relaxed beamforming nulling. The UE may decode a downlink transmission received from the base station based at least in part on the downlink transmit precoder and one or more decoded bits received from the one or more other UEs in the cooperative reception group. Numerous other aspects are provided.