While there may be a "path" for CBJ to save his job, I think he is unable to find, or stay on that path. It would require at least 5 more wins, which is beyond his current skill level.
I think there was a meeting of the minds (that matter) after the UGA game, and the result of that meeting was "Let's start looking for a new coach...we ARE going to need one." So while it is numerically and hypothetically possible for CBJ to save his job, it is all but impossible given his track record to this point.
JMO.
Go Vols.