With Spurs having looked in-house for a successor to the ousted Andre Villas-Boas, Sherwood stepped up from a coaching role and into an 18-month contract.
The deal is due to run until the end of the 2014/15 campaign, by which time he will hope to have shown that he has a bright future in Premier League management.
Kaboul is convinced that Sherwood is the right man for the job, having overseen seven wins, two draws and just one defeat in his 10 games so far to keep Spurs in contention for a top-four finish.
The French defender told the Evening Standard: "He deserves it. He knows the club very well, he's been here for a long time and he knows exactly what he's doing.
"He learned a lot in the past and the best fact is that he played football at a high level. He won the title with Blackburn in 1995, so he has plenty of experience. His playing career is important because he knows what it's like for us.
"We don't waste time on other stuff because he went through everything and he understands. He knows the game perfectly.
"I remember that when Harry Redknapp was manager, Tim and Les Ferdinand and Chris Ramsey would come to nearly every game.
"Wherever we were playing, it didn't matter, they would be there. They would talk to us about how to deal better with certain situations on the pitch, and even then I could see Tim becoming a manager.
"He just had to be patient and wait for his chance."
Kaboul has also had to be patient this season, following a lengthy spell on the sidelines with a knee complaint, but he is back in contention now and setting his sights on closing the three-point gap which separates Spurs from the UEFA Champions League places.
In the wake of a 4-0 mauling of Newcastle United on Wednesday, he added: "Everyone did a great job at Newcastle but to be up there, we need more again.
"We need to be hungry for victory in every game and do the extra two yards for each other. That's the only way we're going to be able to play in the Champions League next season."