The Spaniard suffered the injury in his side's 2-1 defeat away at Norwich City on Saturday, though there was better news regarding the damage to midfielder James McCarthy, hurt in the same game.
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"It's a shame because Adrian has never had a soft-tissue injury before.
"He is a sprinter and he has a real sprinter's muscles - you don't usually see people like him picking up this kind of injury."
McCarthy was taken off at half-time at Carrow Road and Martinez added on the midfielder’s injury: "We've had the scan and he has a sprain in his ankle and we need to see how that develops.
"Any sort of injury is disappointing, although we are relieved that it is not a really bad tear to his ligament.
"He's been working really hard this past two days, accelerating the recovery process but it's too early to tell if he'll be okay for the weekend [against Arsenal]."