The 21-year-old Bourque will receive $725,000 in 2013-14 and $825,000 in 2014-15.
Bourque had seven goals and 12 assists in 43 games as a rookie last season, and added three goals and two assists in 10 playoff games. He also had two goals and 14 assists in 25 games for Milwaukee in the American Hockey League.
We were thinking about Rich back home, but I thought we did a great job getting mentally ready for this game. We're still in a big playoff push and we found a way to get two points. It's not easy. It hit our guys pretty good [Monday] night. We did a great job as a group.
— Dallas captain Jamie Benn on the Stars' OT victory against the St. Louis Blues the night after Rich Peverley collapsed on the bench