The Old Lady were inconsistent at the start of the season and there were reports suggesting manager Massimiliano Allegri was facing the sack if he couldn't turn around the club's fortunes.
However, the Italian giants have awoken over the past few weeks and six league victories from the last seven has put the club right back into the mix for a seventh straight title.
Argentina international Higuain, who scored in the 1-0 win against former employers Napoli last time out, is happy with the resurgence in form and is hoping to keep the momentum going.
"Winning a seventh straight Scudetto would be something incredible," he told Tuttosport. "We have rediscovered the right hunger, we are sorry we didn't have it in the first part of the season.
"There are some regrets for that, but it's natural to have some drops in intensity."