Byte utilization is improved in Remote Direct Memory Access (RDMA) communications by detecting a plurality of concurrent messages on a plurality of application sockets which are destined for the same application, client or computer, intercepting those messages and consolidating their payloads into larger payloads, and then transmitting those consolidated messages to the destination, thereby increasing the payload-to-overhead byte utilization of the RDMA transmissions. At the receiving end, multiplexing information is used to unpack the consolidated messages, and to put the original payloads into a plurality of messages which are then fed into the receiving sockets to the destination application, client or computer, thereby making the consolidation process transparent between the initiator and the target.