Higuain is convinced Real can overtake Barca and claim the title after a season in which they fell below expectations in the Champions League, where they were went out in the first knockout stage to Lyon, as well as the Copa del Rey.
Next up Madrid face Real Zaragoza, and Higuain said: "We can win the league title. This team has a lot of faith in itself. The match in Zaragoza will be very difficult. They fight to avoid relegation and we fight to win the title.
"We know 98 points are a hell of a lot and taking that many by season's end would be incredible. I think we are having a great campaign; we've won many consecutive games.
"We always create many chances on goal and we have a solid defence. We have taken an incredible number of points already. The coach was right in saying whomever wins the league title in the end will truly deserve it."