Multi-Q FIFO memory devices are configured to support a backed-off standard (BOS) mode of operation. This mode of operation enables automatic re-reading of at least one data word previously read from a first queue in the FIFO memory chip during a first FIFO read operation, in response to a queue-switch back to the first queue during a second FIFO read operation. To support this mode of operation, a read counter associated with the first queue is backed-off at least one entry position in response to the queue-switch.