The France international moved to White Hart Lane for £11m from Lyon in 2012 and still has two years left on his current Spurs deal.
Rumours have been rife the shot-stopper has been eyeing a move away from north London to secure Champions League football, with Paris Saint-Germain reportedly keeping tabs on him, but Sherwood is adamant the club want to hold on to the Frenchman.
“He is one of the best keepers around,” Sherwood said, as quoted by the Daily Mirror. “Of course, people are going to want him. But I’m also sure the club won’t be tempted to get rid of him.
“He is one of the top goalies and unless someone is going to spend £100m on him – and keepers do not get bought for that money – I don’t think he will leave.
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“It was only that kind of figure that tempted the club to sell Gareth Bale – and he desperately wanted to leave and progress his career at Real Madrid. He hasn’t got to play a blinder for France at the World Cup because people already know what he can do. They know he is a fantastic goalie.
“Even if he was terrible for France, I don’t think it would make a difference as to how people view him. Everyone can recognise it.
“He has never said to me or anyone else at the club that he wants to leave. And he does not perform like he wants to leave. He gives everything all the time and that is why he is a favourite of the players and fans.”
The Spurs boss is also confident striker Emmanuel Adebayor will commit his future to the club, despite the Londoners’ priority of adding further firepower up front in the summer.
Sherwood has already hinted at a move for Chelsea striker Romelu Lukaku, but believes Adebayor’s resurgent form since he took charge of the club should encourage the Togo international to stay put.
“Adebayor is a pleasure to work with and is a good role model for younger players,” Sherwood added. “He trains excellently, conducts himself well and I’ve never had a problem with him.
“He has married his talent with a top attitude and has been reaping the rewards since I got here.
“I’m sure he wants to be part of the future here. I don’t think he wants to keep moving clubs.
“His family is settled in London and he just wants to help us win as many games as possible.”