Stoudemire, who returned to McKale Center on Friday night, said he wouldn't be able to exercise for another five to 10 days because of the injury.
"I can't catch a break," Stoudemire told the Arizona Republic. "I can't get my heart rate up because my blood pressure rises and it goes to my eye. I don't want that or the eye will bleed."
Suns center Boris Diaw inadvertently poked Stoudemire in the right eye during practice, and Stoudemire awoke Thursday with swelling and blurred vision.
An examination showed there was no damage to the retina or the cornea, according to the East Valley Tribune.
"He actually had some damage to his iris, which is not serious, fortunately," team GM Steve Kerr said, according to the Republic.
Stoudemire told paper he will likely wear goggles for the rest of his career.
"I don't want that to happen again," Stoudemire said.