You can't, I tried that months ago. I did a system transfer from my 2DS to a n3DS a while back (even before A9LH was a thing).
It failed. It completed a system transfer, but none of my data was actually transfered. So, I tried calling Nintendo to see if they can remove the 7 day restriction. At best they could do a license transfer (transfer your NNID to another 3DS, but not the data) immediately; however, they were unable to do a system transfer. They said something about it being a permanent thing and something out of their control, and I was talking to a higher up in customer support.