An enhanced direct memory access (EDMA) operation issues a read command to the source port to request data. The port returns the data along with response information, which contains the channel and valid byte count. The EDMA stores the read data into a write buffer and acknowledges to the source port that the EDMA can accept more data. The read response and data can come from more than one port and belong to different channels. Removing channel prioritizing according to this invention allows the EDMA to store read data in the write buffer and the EDMA then can acknowledge the port read response concurrently across all channels. This improves the EDMA inbound and outbound data flow dramatically.