In one embodiment, a memory system is provided comprising a memory die and a controller. The memory die comprises a non-volatile memory, a data latch, and an on-chip randomizer. The controller is configured to send a command to the memory die to cause the on-chip randomizer to store random data in the data latch and send data to the memory die to overwrite some, but not all, of the random data in the data latch, wherein the memory die is configured to transfer the data and random data stored in the data latch to the non-volatile memory. Other embodiments are provided.