Thank you so much for your inquiry, Robert. Unfortunately, no. The LinkBuds S is a Bluetooth only headphones and will not work with our KDL-40W600B. If you are looking for headphones that will work with our KDL-40W600B, then we can recommend you our WH-RF400. These Wireless Home Theater Headphones come with a transmitter that connects to the headphone audio out port of the TV. To know more about our WH-RF400, check out the following link:
Hope this helps, and thank you so much for considering Sony!