A data storage system includes a storage server, including non-volatile memory (NVM) and a server network interface controller (NIC), which couples the storage server to a network. A host computer includes a host central processing unit (CPU), a host memory and a host NIC, which couples the host computer to the network. The host computer runs a driver program that is configured to receive, from processes running on the host computer, commands in accordance with a protocol defined for accessing local storage devices connected to a peripheral component interface bus of the host computer, and upon receiving a storage access command in accordance with the protocol, to initiate a remote direct memory access (RDMA) operation to be performed by the host and server NICs so as to execute on the storage server, via the network, a storage transaction specified by the command.