DUE SD card access using DMA

I'm looking for a way to permanently read data from an SD card while keeping the workload of the CPU as low as possible.
I imagine that I just give a pointer to a buffer to a DMA based SD.read routine which fills the buffer via DMA without loading the CPU and just issues an interrupt when the buffer is full (like the DAC of the DUE when operated via DMA)
I thought this could be done with the SdFat Library as it is apparently able to use DMA. However it seems to use it only for speeding up the read process, but not for filling a buffer in the background.

Does anyone know how to do something like this?

Thank you in advance for your help.