City face being without their centre-back for more than four months because of a knee injury suffered during the 4-0 defeat of Brighton at the end of August.
The Premier League champions have since confirmed Laporte has had successful surgery to repair the damage to his cartilage and lateral meniscus.
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On Saturday City were stunned by Norwich, losing 3-2 at Carrow Road and their defence was worryingly exposed on several occasions, notably Nicolas Otamendi, who was caught in possession in his own area which led to Teemu Pukki scoring the decisive goal.