Questions about Bluetooth and Ipod Touch?

I've been in search of a Bluetooth headset for my Ipod Touch so when I go to the gym I don't have to worry about a wire getting in my way.

I was wondering if I had to have any kind of wireless connections at the gym which I don't on my ipod. And I want these

http://www.amazon.com/Jabra-REVO-Wireless-Bluetooth-Headphones/dp/B00BFO14W8/ref=sr_1_8?s=electronics&ie=UTF8&qid=1369687921&sr=1-8&keywords=Bluetooth+headphones

Will these work on my ipod if I don't have an internet connect but Bluetooth is on?