A goal on Saturday would make him the outright third top goalscorer in the Premier League with 188 goals and a brace would see the England international go past Thierry Henry's record of most goals in London derbies in the competition, which currently stands at 43.
"The records underline that you are doing something special," Conte added.
"I think Harry in his career is doing something special in personal achievement because it's really a pity with so many goals, so many big personal achievements until now he didn't win (trophies).
"Usually when you score a lot of goals for your national team or your club, you deserve to have a good (trophy) win, but we are trying to work and help him to get this target.
"You know very well for us that Harry is important and we are talking about a world-class striker but I see also the desire in him… the desire to do something special.
"When you win it means you lift a trophy, Premier League, FA Cup, Carabao Cup or Champions League. With the national team the Euros, the World Cup and these are trophies you have to lift and we are talking about a top player. I think he deserves this."
Kane's earliest change to win silverware will occur this winter with England at the World Cup in Qatar and the consistent form of team-mate Eric Dier has seen the centre-back linked with a recall into Gareth Southgate's squad.
"Now in England we are talking about the best tournament in the world, the best and most difficult tournament and now Eric is an important level of defenders," the Italian insisted.
"For sure, what I can tell you is that Eric improved a lot since I arrived. For sure we are talking about a reliable player.
"If he deserves to go or not, it depends on what the coach of the national team, Southgate, thinks. I have too much respect for him to tell something wrong or to try to convince him."