Hi. This is something you and your doctor will have to work out. Of course there is a lot of information out there on the Internet with people's experience quitting sub that you can tap in to. There is another forum called suboxone talk zone that has a sub forum dedicated to quitting sub.
Like any opiate though. Quitting either CT or tapering boils down to are you emotionally ready and how much discomfort are you willing to endure/accept.
Good luck and please let us know how it goes.