Kane scored four goals for Tottenham as they demolished Leicester to go two clear of Lukaku at the top of the Premier League chart on 26.
And the England striker, who has 32 goals in all competitions this season, warned Lukaku he is targeting a repeat against relegated Hull on the final day of the season.
“I was looking to take it into the last game but now I’m in the driving seat,” said Kane. “I’m not resting on my laurels and I’ll go to Hull looking to get four more hopefully.”
Spurs manager Mauricio Pochettino hailed Kane as “one of the best strikers in the world” and insisted he will stay at the club this summer.
“We have a very exciting project, there’s no reasons for Kane to want to leave the club,” he said.
“It is fantastic for him. It is a season again where he fights to be the top scorer in the Premier League.
“He is great, he is one of the best strikers in the world. He will try to keep going in the next game and try to finish in the best way.
“He was injured two times in the season but he is so fresh now and he is trying to score a lot of goals to finish at the top. We have another opportunity against Hull.”
Leicester boss Craig Shakespeare questioned his players’ desire in the closing stages.
“When you lose 6-1 there are no positives,” he said.
