Spurs goal machine Kane has already outscored Ronaldo at this summer's World Cup.
Former Chelsea striker Didier Drogba has been quoted by Match of the Day's Twitter account as saying that Tottenham ace Harry Kane is "getting there", but still remains some way off Real Madrid superstar Cristiano Ronaldo.
Kane, 24, is set to lead his country into battle on Tuesday evening as England face Colombia for a place in the last eight of the World Cup, where they will face either Sweden or Switzerland.
The Tottenham striker has scored five goals in two games, including a hat-trick against Panama, but was rested for the 1-0 loss to Belgium last week.
England now face Colombia and Drogba - who is working for BBC Sport as a pundit throughout the World Cup - compared Kane to Ronaldo, and believes Kane is closing in on the level Ronaldo continues to perform at.
"Kane, the best striker in the world? I mean, Cristiano Ronaldo, yes. Harry Kane is getting there, he's getting there. He's scoring all the important goals. There's a lot of variety in his goals," Drogba said.
"Second-post goals, [Filippo] Inzaghi goals. Back to the goal, he is a very good player. He's a top scorer."
Kane was given the captaincy after another excellent season under Mauricio Pochettino at Spurs, amassing a huge 41 goals in 48 league and cup outings. He remains top of the World Cup goalscoring rankings.
England will look to get the better of Colombia to set up a tie with either Switzerland or Sweden who play earlier on Tuesday. The winner of such a quarter final will face the winner of Russia or Croatia in the semis.