Pouncey's absence means the Dolphins will be without three starters on their offensive line for the home game against the Chargers.
Miami's offensive line already has taken a hit after the Dolphins suspended guard Richie Incognito for his alleged role in the bullying scandal that came to light after right tackle Jonathan Martin left the team on Oct. 28.
Backup offensive tackle Will Yeatman also suffered a significant knee injury Wednesday and is expected to miss the remainder of the season.
Miami has lost five of its last six games after starting the season 3-0.
ESPN NFL Insider Adam Schefter and ESPN.com Dolphins reporter James Walker contributed to this report.