France's World Cup-winning captain Lloris is "expected to be out for several weeks" with a thigh injury according to the club, while manager Mauricio Pochettino is more hopeful Alli could return in time for the trip to Brighton on Sep 22.
"And of course, I am guilty because I saw that, but I can not change that situation".
He added: 'Of course he's the first that regrets everything and all that happened yesterday is not good.
"If Saturday we play in the same way ... rather than take off players, I will be on the phone to say, "Houston, we have a problem".
Lloris, along with Dele Alli, is injured and will miss the visit of Liverpool to Wembley tomorrow, but the French World Cup victor will resume the club captaincy when he comes back. He made a mistake and is suffering, and is punishing himself. We need to keep working and improving.
"He's the first [to accept it was a mistake], he told me, "Gaffer, it's a massive lesson for me".
Alli suffered a slight muscle strain in England's Nations League defeat to Spain last weekend.
Pochettino rejected suggestions Kane is worn out, stating it is only a matter of time before the Tottenham striker is back to his goalscoring best.
"We all knew after the World Cup, especially when England went so far in the tournament, they had no rest".
"We are disappointed because we're going to miss him for this game and possibly Inter Milan but it is not a big issue".
"They will be a really strong side and no I don't think it's the flawless time to play Tottenham".
The Sun reports that the 31-year-old was willing to quit his role as leader of the team, but Pochettino does not see the need for change.