They will come back from the break with a run of tough matches, with Chelsea, Inter and Arsenal their next three games.
Yet all three players have been selected by their national squads.
"He is a killer, an assassin, a killer", Pochettino said. "But that is impossible".
Trippier is now the ninth Spurs player who went to the World Cup to have suffered an injury this season, along with Hugo Lloris, Jan Vertonghen, Danny Rose, Eric Dier, Dele Alli, Christian Eriksen, Mousa Demble, and Davinson Sanchez.
"It is play, play, then move them there and play again". It's massive. I would like to be a 20-year-old and to be a player, and Tottenham offer me a contract to play because it is going to be incredible.
We understand we maybe need to sacrifice some players in some games so they can cope with the demand in the future.
Even if he does not play, Spurs have no power to keep him.
British minister optimistic about Brexit deal with EU
She has lost all authority and is incapable of negotiating a Brexit deal within her own party, let alone with the EU. His brother praised his decision, saying they were "united in dismay" at the PM's handling of the negotiations.
Pochettino is at least finding it easier to rotate and rest his attacking midfielders these days.
Kane has faced questions about his form and fitness this season, amid suggestions he was looking jaded after the World Cup, but after winning the Golden Boot in Russian Federation, he has scored 10 goals in 15 appearances for Spurs this term, and Pochettino believes the changeable perception and coverage of Kane is a cultural phenomenon.
He added: "He's the main man for us, when he's not there you need other players, like myself, to step up and get assists and get goals".
As a result, Pochettino was able to omit Alli from his squad for Spurs' last Premier League match - Saturday's 3-2 victory at Wolves - while Eriksen was used as a second-half substitute.
"If he is fit but I decide not to put him in the starting XI we will need to get permission as well from the national team".
"It's so important. Competition in football is always such an important thing that puts pressure on yourself".
He moaned: "It is very hard when a team does so many good things in terms of their tactical approach, work rate and determination, yet end up losing the game 1-0".