"It's a matter of opinion", he said. "He's not going to be in the club, he's not going to play every game, he's not going to put his heart on the line so".
"With Coutinho, I think Liverpool wanted to keep him but it is hard to keep him, and look what happened with Cristiano Ronaldo with Manchester (United), Zidane with Juventus, (Luis) Figo with Barcelona".
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Real Madrid coach Zinedine Zidane hailed Kane as the "complete player" ahead of the clubs' first Champions League tie in October while Manchester United have also been credited with an interest in the 24-year-old.
Spurs might be able to hold onto him for another season but if they don't start winning trophies they will be waving goodbye to Kane very soon.
Spurs have some of the world's best players in their squad such as Hugo Lloris, Kane himself, Dele Alli, Toby Alderweireld and Christian Eriksen.
Pochettino pointed to examples of stars like Luis Figo and Cristiano Ronaldo wanting to leave Barcelona and Manchester United, respectively, and said it is nearly impossible to keep a player once his head is turned so it's crucial to create the right atmosphere for them in the first place.
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Kane is one of the Premier League hottest properties having broken Alan Shearer's goal record for the calendar and outscoring Lionel Messi and Cristiano Ronaldo in 2017.
"We're still in the Champions League and the FA Cup".
SkyBet League One strugglers AFC Wimbledon are now sat in the relegation zone despite losing once in their last three games. "That's the aim, as long as the club keep doing that then, yeah I'm happy here", he added.
Asked what Spurs need to do to keep him at the club, Kane said: "I've always said: keep progressing, keep getting better, start winning trophies". Tottenham, who are 21 points off the title pace as it stands and face Juventus in the last 16 of the Champions League next month, have won just one trophy in the current millennium to date - the 2007-08 League Cup.
Zidane insists he doesn't want signings despite Madrid 'crisis'
Speaking to BBC Radio 5 live's Euro Leagues Football Show , journalist Raphael Honigstein said Madrid are considering replacements.