Can I use my laptop WiFi adapter in my desktop?

OK so I got a new desktop but it doesn't have a built in adapter or anything and I can't connect through Etheet cable so I have a old gateway laptop and I was wondering if I could take the adapter from that?(here's the link to the specs of my laptop) https://panam.gateway.com/s/Mobile/2008/Avalon/1015078R/1015078Rsp4.shtml