Tottenham will also be without goalkeeper and captain Hugo Lloris who has a thigh injury that could keep him out for several weeks.
The Frenchman, who now has a thigh injury, was sentenced this week for the August offence, with a judge fining him £50,000 and banning him from driving for 20 months.
Speaking at a news conference ahead of Saturday's Premier League match against Liverpool, where he will be without influential injured duo Hugo Lloris and Dele Alli, Pochettino maintained Kane is in safe hands.
"First of all I want to say that they deserved the victory", Pochettino said.
As quoted by the Daily Express, the Argentine said: "Look, when in England the transfer window closed and in Europe closed I think we move on". He made a mistake & has suffered the punishment of society.
"Of course we have a conversation and he explained what happened".
"He's the first [to accept it was a mistake], he told me, "Gaffer, it's a massive lesson for me".
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Kane has been a constant scourge of Liverpool , scoring five times in seven appearances against the Reds, including twice in a 4-1 thrashing at Wembley last season.
"It's not that I want to justify him, it's only because the period during the season always change".
"Then to congratulate the club because the club has protected a big asset".
Kane has still scored twice this season after winning the Golden Boot at the World Cup in the summer and Pochettino insists his striker should be the toast of the club.
"We know Harry Kane very well in the last more than four years we work with him". But I'm not going to complain. It's why you need to show more consistency.
If not, we're not going to take a risk because he missed a lot of games and we have a lot of games to play.
Magistrate Amanda Barron said Lloris very lucky not to have caused "damage to other vehicles or pedestrians", and that his actions put his and his passenger's lives at risk. Don't worry for me - we need to be anxious for the real things.