The veteran suffered a hamstring injury in the first-half of Barca's Supercopa final triumph against Real Madrid on Sunday.
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After scans on Monday, it's been confirmed Martinez will be sidelined for a month.
The defender has been a first-choice for coach Hansi Flick so far this season.
Barca announced this morning: "The tests carried out this morning, January 14, have shown that the first team player Iñigo Martínez suffers a rupture of the femoral biceps of the right thigh. The approximate withdrawal time will be around 4 weeks."