Honestly there is no way to get true surround from a head at on the wii u. The built in Jack in the game pad will only offer two channel audio. One plan I have to use my existing turtle beach headset is to use the head phone Jack on my surround sound receiver where my wii u is hooked up with hdmi. Then I can set my receiver to neo 6 or another mode to simulate surround sound on my headset. Just still researching to see which mode will give the best results. Most headsets only have single speakers anyway so even on say ps3 or 360 are still getting simulated surround sound.
Assuming you mean true surround from a headset on the Wii U, it is possible, just not really easy nor affordable to most at this point. You'd need a device that can split the HDMI into 6 analog sound channels; this usually involves a converter or a mid-range to high-end AV receiver. You'd then need a surround headset with analog multichannel inputs, such as the Tritton AX Pro.
Everyone seems to be rushing for an immediate solution, but I'd suggest waiting it out for a bit to see new solutions pop up via USB (perhaps a USB Dolby Digital decoder with optical out if someone decides to test one) or when manufacturers decide to move forward with Wii U-specific headsets.