Martinez said Thursday that Nathaniel Tavarez remains in critical condition at a Lubbock, Texas, hospital and that doctors have repaired slight damage to his heart.
Earlier reports had Nathaniel's age at 11, but the governor says he's 12. Martinez said earlier she wouldn't identify the boy until his family said it was OK.
School officials say counselors will be available Thursday for Berrendo Middle School students to talk about Tuesday's shooting. Nathaniel and 13-year-old Kendal Sanders were hurt, and a school staffer suffered minor injuries.
The suspected shooter has been charged with three juvenile counts of aggravated battery with a deadly weapon.
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