A transmit offload engine (TOE) such as an intelligent network interface device (INIC), video controller or host bus adapter (HBA) that can communicate data over transport protocols such as Transport Control Protocol (TCP) for a host. Such a device can send and receive data for the host to and from a remote host, over a TCP connection maintained by the device. For sending data, the device can indicate to the host that data has been transmitted from the device to a network, prior to receiving, by the device from the network, an acknowledgement (ACK) for all the data, accelerating data transmission. The greatest sequence number for which all previous bytes have been ACKed can be provided with a response to a subsequent command, with the host maintaining a table of ACK values to complete commands when appropriate.