I don't see why it wouldn't. I bought this to use for a gaming/skype headset but also leave my external speakers plugged into my p/c. I had to go into settings to set the audio usb as communications default.
I'm not familiar with the Turtle Beach headsets but if they have the 3.5mm plug then yes, the USB Audio adapter will work.
So far, they haven't blocked this out. I just finished using it with a PC headset and it works good!