Stoudemire's recent history with the Knicks has been dominated by knee issues, letting him play only 29 times last season.
However, Woodson has revealed that he is hopeful the 30-year-old will be fit enough to last a full season.
"He's rehabbing back nicely," Woodson told reporters. "We're not going to rush him.
"The bottom line is to try to get [Stoudemire] through a full season where he's ready to go in the playoffs."
The Knicks begin their season against the Chicago Bulls on October 31.