Provided are a computer program product, method, and system to transfer storage input/output (I/O) requests to host and target systems on different fabrics. An origination packet is received from an originating node over a first network to a destination node having a storage device. The origination packet includes a first fabric layer for transport through a first network, a command in a transport protocol with a storage Input/Output (I/O) request, with respect to the storage device at the destination node, and a host memory address. A destination packet is constructed including a second fabric layer for transport through a second network and the command in the transport protocol to send the storage I/O request and a transfer memory address that maps to the host memory address. The destination packet is sent over the second network to the destination node to perform the storage I/O request.