Froch, who only recently agreed a deal with the satellite broadcaster after years of fighting on other channels, suggested that his lack of exposure significantly hindered his career.
The 33-year-old's world title defence against Glen Johnson in Atlantic City will be shown by Sky this Saturday, and he warned Khan about losing valuable TV coverage.
Froch told The Sun: "Why would anyone leave Sky and go to another [broadcaster]? But Khan has been taking advice and did exactly that for his last fight. Has Khan taken the right advice?
"His team obviously think they are doing the right things but Amir is in danger of disappearing from general public view. If he doesn't fight on Sky he will slip under the radar."
Froch added: "I know because it has already happened to me. I didn't get the right TV exposure after I became world champion. My subsequent defences were not on mainstream TV either and that is why I am not a household name - but that is about to change.
"I've been trying to get back on Sky for a long time now and things are looking good as they will show my next fight against Johnson."
In April Sky refused to broadcast Khan's WBA title defence at Manchester's MEN Arena against Paul McCloskey following a dispute over pay-per-view fees.
New boxing broadcaster Primetime TV agreed to air the fight and is keen to continue the relationship with Khan's management company. Sky executives are thought to be prepared to bid for TV rights to Khan's fights in future, but they will not be held to ransom.