Both were injured during the Knicks 117-89 loss to the Indiana Pacers on Thursday.
Martin sprained his left ankle early in the second quarter and did not return to the game. Stoudemire was hurt on a drive with four minutes left in the third quarter and X-rays on the ankle revealed a bone bruise.
"Right now, it's throbbing pretty good because the trauma happened not so long ago," Stoudemire said after the game, according to ESPNNewYork.com. "We'll sit down and see how it feels. I'm going to bounce back from this and get back to what I was before. Hopefully I'll be back sooner than later."