The attacker, 26, only made it through 33 minutes of the Albiceleste's quarterfinal with Belgium, which they ultimately won 1-0.
After the match, his agent Eugenio Lopez suggested the Real Madrid man had torn his thigh muscle and would not recover in time to feature in the final if Argentina is able to beat Netherlands in the last four.
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Di Maria has undergone medical tests on Sunday and will be desperate to be fit should Alejandro Sabella's men get past the Dutch to play against Brazil or Germany at the Maracana on July 13.
Daniel Martinez, Argentina's team doctor, gave a much more optimistic outlook towards Di Maria's injury than the player's agent had originally given, however, insisting that there remains a possibility he could be back in action in a week.
"Di Maria, like Sergio Aguero, has a light injury," he told reporters. "It is one of the mildest muscular injuries. He won't play in the next match. After that we'll look at him on a day-by-day basis."
Di Maria has been an ever-present in Sabella's starting lineup in Brazil and scored the winning goal in extra time against Switzerland in the last-16.
Martinez also gave good news regarding Aguero, who has struggled with injury throughout the World Cup, by revealing he should be fit to feature against Louis van Gaal's men Wednesday.