After his team's 24-17 defeat, Jones said he thinks he has a sprained MCL, the same injury he suffered against the Bears at Soldier Field last year, according to Tom Silverstein of the Milwaukee Journal Sentinel.
Jones had only four carries for eight yards before heading to the bench.
This is another setback for the second-year player after he was carted off the field with a knee injury during a victory over the Bears in his rookie season.
The Packers selected Jones in the fifth round of the 2017 draft to add depth at running back, and he saw inconsistent playing time as a rookie on his way to 448 rushing yards and four touchdowns.
However, he has become one of Green Bay's most important offensive players in his second season and entered the day with 720 rushing yards, eight touchdowns and an NFL-best 5.6 yards per carry as the primary running back.
Green Bay still has Jamaal Williams to anchor the position while Jones is sidelined.