A processor with on-chip memory including a plurality of physical memory banks is disclosed. The processor includes a method, and corresponding apparatus, of enabling multi-access to the plurality of physical memory banks. The method comprises selecting a subset of multiple access requests to be executed in at least one clock cycle over at least one of a number of access ports connected to the plurality of physical memory banks, the selected subset of access requests addressed to different physical memory banks, among the plurality of memory banks, and scheduling the selected subset of access requests, each over a separate access port.