Upgrading from a Wireless-G Network Adapter to a Wireless-N Network Adapter.

I want to upgrade our Wireless-G USB Network Adapter to a Wireless-N USB Network Adapter. I currently use a Wireless-G Broadband Router and this new adapter will be used for our Quad-Core Gaming Desktop Computer to access the internet and to upload HD Music Videos. Would the new adapter work with our broadband router? I want an honest opinion before I purchase it, so I can make a wise decision. Thanks.