Is there any way to import a Mii into the Wii Channel on the Wii U

On my Wii, I have a button in my Mii Channel to transfer a Mii to and from my Wii remote, as seen in this tutorial. On the Wii Channel of my Wii U, I don't have that button.

I've also tried to connect my 3DS using the shortcut (A + B + 1 + 2), which works, but you can't transfer from the handheld to the console, only the other way around.

I do not want to do a whole Wii data transfer. Am I stuck making Miis from scratch on the Wii Channel?