The 22-year-old had a strong rookie season for the Stars, finishing with 11 goals and 29 assists. After undergoing hip surgery last summer, Klingberg started this season in the AHL, where he played 10 games before being called up to the Stars to begin his rookie campaign.
Klingberg could have become a restricted free agent on July 1.
Dallas drafted Klingberg in the fifth round in 2010.
The Stars and finished the 2014-15 NHL regular season at 41-31-10 on the year, missing the playoffs.
- Jack Jorgensen