Kane scored once each against Italy and Ukraine in the international break to move beyond Wayne Rooney and become England's record goalscorer.
The 29-year-old now has 55 goals in 82 appearances for the Three Lions.
Only three players have scored 100 or more goals for their countries at international level; Ali Daei, Cristiano Ronaldo and Lionel Messi, but Kane is not ruling joining those three at some point in his career.
"Getting 100 will be tough for sure, but I never count out anything," he is quoted as saying by BBC Sport.
"I am still young – I am 29, I am still fit and strong. I want to play for England for as long as I can. Every game there is I will be putting myself forward to try and play.
"We will take it step-by-step. The next step will be trying to get into the sixties.
"A hundred is not out of the question. It will be extremely tough, but we will have to see how the next few years go."
"I am extremely passionate about my country. I love playing for England," Kane, who also recently became Tottenham's record scorer, said of his Three Lions career to date.
"To think of all the English legends and strikers that have played the game and to be number one now is just beyond my dreams.
"Playing for England is special and to have this record is special.
"I don't think I dreamed this far. I dreamed of playing for England and scoring for England – to be record goalscorer was not even in my dreams.
"I have had so many great moments and hopefully there are more to come."
