It was confirmed by Microsoft that the Xbox One would not support Xbox 360 headsets or controllers – until now! Xbox Support confirmed the news on twitter that something else that might cost you money is in development, an Xbox 360 to Xbox One headset adapter!
Bring forth your wallets!
@craigfellows We are working to develop an adapter for current wired headsets to connect. More details as we approach launch. ^PS
— Xbox Support (1-5) (@XboxSupport) June 26, 2013
Currently as it stands there will be no headset included with the Xbox One console package as Kinect is deemed a suitable enough device to operate multiplayer and skype voice chatting on Xbox LIVE.
We’ll keep you posted on future developments with this in due course.