Does the HDMI port on a video card support audio?

When purchasing a video card based on nVidia or AMD, does the HDMI port support audio as well as video?

For what it's worth, I'm running Xubuntu 14.04.

Here's an example of a video card with built-in HDMI:

http://www.newegg.com/Product/Product.aspx?Item=N82E16814133457

Please note, that is just an example, please do not flag this as a shopping question!