The two-time regular season MVP underwent an MRI on Thursday which revealed that his injury did not require surgery.
The star of the Golden State Warriors, reigning NBA champions, hurt himself on Wednesday while attempting an interception in the loss of his team against the Indiana Pacers (125-119).
"From what I know of shoulder injuries and situations like that, avoiding surgery is good news," said Curry, who otherwise would have been out of the rest of the season.
He should probably be absent "a few weeks" according to ESPN, citing anonymous sources.
"I'm going to try to find a way to get out of pain quickly, recover my strength and work properly to make my comeback," added the 34-year-old point guard.
He will only be able to begin his rehabilitation once the pain has disappeared.
Stephen Curry has already suffered long-term injuries, including one to the left hand in 2019 which this time required an operation and a recovery of several months.
The Warriors, who are making a start to the season far from their usual standards, will therefore have to do without their playmaker, the team's top scorer and passer with 30 points and 6.8 assists per game.
The reigning NBA champions, who are seeking a fifth ring, have a negative record of 14 wins for 15 losses, including 13 on the road.
"Every team goes through this kind of situation over the course of the year, injuries, your best player forfeited. You have to figure out how to act and take on the challenge," Curry said.
"We just want to win away from home," he concluded.
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