Download Norton 360 on a system that already has Norton Internet Securiy and Ghost Installed?

I already have Norton Internet security installed on my Windows 7 system, but it expires soon. I recently subscribed to Comcast which provides Norton 360 for free.  Can I just download 360 before uninstalling Norton Internet Security?  I do not want to first run Norton's Removal Tool because I don't want to have Norton Ghost uninstalled automatically and lose all my info in Norton Ghost.  Can I just go into Programs and Features and do an uninstall.