Pochettino is hopeful Alli will be fit for the second leg but admits the midfielder is unlikely to face Huddersfield on Saturday.
After the final whistle, Lucas brought his one-year-old son out onto the pitch, savouring every moment of this special day for him.
"We feel so disappointed and it was hard to accept the situation", he added. We have five weeks - If we are into the final of the Champions League, maybe he will play but we'll see.
This is the fifth ankle injury since September 2016 for Kane, who has come back ahead of schedule on a number of occasions, including this year when he returned two weeks before expected.
"It all depends on the time and we will see if in time he arrives in a situation where he is comfortable to play. We are going to do everything to recover him as soon as possible". We have a lot of players who played ninety minutes who are not in a condition to play tomorrow. There is a lot of coincidence but we are talking about an accident.
Spurs legend King believes that target man Llorente did perform well on his return to the side, which could be even more crucial due to Kane's injury problem.
Victor Wanyama is another who may have to step up in Alli or Winks' absence, and after his excellently taken opener against Huddersfield, he said: "If we're focused and we give everything then I don't think anyone can beat us".
"I am so happy, the performance was very professional, I am happy for Lucas for his hat-trick. I am never going to tell a player not to go to the national team", he said.
Dier has missed the last three matches with a hip injury that he sustained during the global break last month and Tottenham have confirmed on TottenhamHotspur.com that the midfielder will still be unavailable for selection tomorrow.
Pochettino admitted he is "not optimistic" Alli will feature on Saturday after the midfielder fractured his hand in two parts.
"So, to me, one thing simply does not mean that somehow we're gonna make an argument that Spurs are better off with Harry Kane, 'cos that would be insane".