The 24-year-old England international has scored 24 times in the league and currently trails Salah by five goals with six games remaining. Liverpool have five fixtures left.
"I still believe I can," Kane told British media. "Look, whatever happens, there are still games to go. I've got to focus on my game. I can't control what he (Salah) does.
"Obviously as a striker, it would be great to win the Golden Boot again and I will keep working hard from now until the end of the season."
Kane claimed Tottenham's winner in Saturday's 2-1 victory at Stoke City but the goal was awarded to Christian Eriksen, whose free kick was adjudged to have gone straight past keeper Jack Butland without being touched by the England forward.
"I swear on my daughter's life that I touched the ball, but there's nothing I can do," Kane added.
"If they (the Premier League) turn it around, they turn it around. If they take my word, they take my word. It is what it is -- the most important thing is that we won the game."
Spurs next face Manchester City in the league on Saturday, before taking on Manchester United in an FA Cup semi-final on April 21.
(Reporting by Hardik Vyas in Bengaluru)
