Is there a way to set the Windows Vista network detection to automatically detect my wireless as a private network?

Is there a way to set the Windows Vista network detection to automatically detect my wireless as a private network?

I have a home network consisting of a wired and wireless network joined. I have my main machine running Windows Vista and it detects the network as private almost instantly. However when I use my laptop with the wireless part of the network it takes a minute or more to detect that it's a private network.