Spurs are also refusing to meet the 28-year-olds £150,000-a-week wage demands which would comfortably make him the highest earner at the club.
And Belgium manager Roberto Martinez admitted during the week that the player will need to play games ahead of the summer if he wants to feature in Russian Federation.
Pochettino is unmoved by potential World Cup heartbreak.
Which means Alderweireld will be set to remain on the bench for Sunday's trip to Chelsea.
It has prompted Roberto Martinez to warn Alderweireld that his starting place for his national team is under threat if he remains out of favour. Here at Chelsea, we have to fight until the end for every target we can achieve, and next year we have to be in the Champions League.
"I have an incredible relationship with Roberto". I fully understand them. What do the national team managers want?
"Kane is a very important player for them, that's for sure".
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Spurs can moved eight points clear of Chelsea FC if Tottenham are able to secure their first win at Stamford Bridge since 1990. I can not say no, but I can not say yes.
"Toby in the last four months has struggled with his injury".
Spurs manager Mauricio Pochettino told reporters on Friday he does not feel obliged to play Alderweireld to help his chances of playing at the World Cup, saying: 'I will not be pressured into saving his World Cup dream'.
Despite claims he is not fit from his Spurs, Alderweireld played 90 minutes for Belgium during the worldwide break.
Pochettino added: "I need to pick two centre-backs and if you are happy you keep the couple of players and he needs to wait". Pochettino is likely to go for the more tactically disciplined Erik Lamela, or even Moussa Sissoko, rather than Lucas Moura. He maybe needs to play more because he was out of the France squad.
"What can I do?" I can not play with 13 or 14 players. "If he keeps working hard, he is going to have the opportunity to play and compete". He is an experienced player. He needs to be fit and to be fit he needs to train every day'. "That is enough, no?" And for the first time, Pochettino has admitted his exclusion is on footballing rather than fitness grounds.
The two top players had to return back to the west London outfit early from worldwide duty, with the former Atletico Madrid man suffering from a problem to his hamstring and the Danish global suffering from fatigue.