Can you use a wireless router internet conection to acces the the internet on the Nintendo Wii?

I want to use my internet connection to acces the net from my Nintendo Wii that is located in my upstairs living room. If I get a wireless router, will it send the internet signal to my Nintendo Wii?
Update: *Thanx for your answers... You have helped a lot... I went to and read the details on the Wi Fi thingy and its says that it can use it or a router... Thanx again for your answers =)*
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