Higuain was pulled from the club's match with Borussia Dortmund at halftime with the injury and it appears to be serious.
According to a report from ESPN, Real Madrid coach Jose Mourinho expects Higuain to be out for at least a month.
In the long term, Karim Benzema is expected to replace the injured Higuain in the lineup. However, neither are expected to play in the club's Sunday match with Levante, according to Ahram Sports. Benzema was held out of Tuesday's match due to a thigh injury of his own.
The news of Higuain's injury comes as a big blow to Madrid. The prolific striker had scored eight goals and put in two assists in 15 appearances this season with seven of those goals coming in league play.
Higuain finished last season with 26 goals and 10 assists in 54 appearances.
In addition to missing Madrid's matches, Higuain will also be unavailable for Argentina's upcoming friendly match with Saudi Arabia and Brazil this month.
How Madrid responds to this injury will be crucial to the success of Real's run at the La Liga title this season. Be sure to stay tuned to Bleacher Report for the latest updates on Higuain's status as he begins the process of re-joining the team.