Barton was carted off the court Saturday after he said he felt something pop when he took off for the basket during the third quarter of a win over Phoenix. He underwent an MRI on Sunday and missed the Golden State game that night.
The 27-year-old Barton signed a four-year deal over the summer to remain in Denver. He averaged 15.7 points and 4.1 assists last season.
The Associated Press contributed to this report.