The simplest and most economical way to wirelessly connect wired headphones to a Bluetooth device without a jack is with a Bluetooth headphone adaptor. Get a Bluetooth adapter in order to create wireless gaming headsets. Ensure that your wired headphones and your Bluetooth adaptor function together. Connect your headset through Bluetooth to the adapter. After turning it on, connect your computer or gaming console to the Bluetooth audio adapter. Out of the available direct connection options, pick the Bluetooth adapter. Ensure that the Bluetooth adapter connection is made successfully. You should now be able to use a high-quality wireless headset without the headphone jack.