I wouldn't waste my money on buying a wireless adapter for a console that already has the feature built in. It's unlikely you'll notice much of a difference as I have my Wii wired through Ethernet, and there is a difference, but unless you're playing something online a lot that is experiencing lag, it wouldn't be worth purchasing.
You are about to answer a thread that has been inactive for more than 6 months. If you still wish to proceed, please ensure that your posting is original and does not duplicate or overlap any prior responses to this thread.