Jolly was arrested in October after police found codeine in his truck. Jolly's third drug-related arrest in three years violated the terms of his probation, which he received in April.
He could be eligible for parole in 14 months.
The NFL suspended Jolly indefinitely following the 2009 season.
During his four-year career, all with the Packers, Jolly has totaled 113 stops and a pair of sacks in 48 games, including 39 starts.
Green Bay selected Jolly in the sixth round of the 2006 NFL Draft out of Texas A&M.