Winfield suffered the injury in Monday night's 45-7 loss to rival Green Bay. The former Pro Bowler was playing in his first game since hurting his neck against Kansas City on Oct. 2.
Winfield had five tackles and a sack before leaving the game.
The Vikings' secondary is already missing cornerback Chris Cook, who is on the active roster but not with the team as he deals with a felony charge of domestic assault.
Information from The Associated Press contributed to this report.