The 25-year-old Lakeville, MN native has a 7-6-2 record in 16 appearances with Joel Bouchard's squad this season, along with a 2.67 goals-against average, a .893 save percentage and one shutout.
Lindgren boasts 18 games of NHL experience since debuting with Montreal in April 2016, amassing an 8-8-2 record with the big club. He also has a 2.89 goals-against average, a .912 save percentage and two shutouts.
With Lindgren joining the CH, goaltender Cayden Primeau was assigned to the Rocket.
Earlier this week, the 20-year-old Farmington Hills, MI native registered his first career NHL win. He made 35 saves in a 3-2 overtime victory over the Ottawa Senators at the Bell Centre.