Method and apparatus for scheduling access requests for a multi-bank low-latency random read memory (LLRRM) device within a storage system. The LLRRM device comprising a plurality of memory banks, each bank being simultaneously and independently accessible. A queuing layer residing in storage system may allocate a plurality of request-queuing data structures (“queues”), each queue being assigned to a memory bank. The queuing layer may receive access requests for memory banks in the LLRRM device and store each received access request in the queue assigned to the requested memory bank. The queuing layer may then send, to the LLRRM device for processing, an access request from each request-queuing data structure in successive order. As such, requests sent to the LLRRM device will comprise requests that will be applied to each memory bank in successive order as well, thereby reducing access latencies of the LLRRM device.