He was sidelined with a soft tissue injury in his groin sustained during practice May 14 and did not play in the Stanley Cup First Round, a six-game loss to the New York Islanders.
DeSmith was 11-7-0 with a 2.54 goals-against average, .912 save percentage and two shutouts in 20 games (17 starts) this season. The 29-year-old can become an unrestricted free agent after next season.
He backed up Tristan Jarry, who was 25-9-3 with a 2.75 goals-against average, .909 save percentage and two shutouts during the regular season but had a 3.18 GAA and an .888 save percentage in the Stanley Cup Playoffs.
Jarry has two seasons remaining on his contract and can become an unrestricted free agent after the 2022-23 season. Maxime Lagace, who backed up Jarry in the playoffs, can become an unrestricted free agent July 28.
Asked if he thought he would remain the Pittsburgh starter, Jarry said, "That's [the Penguins'] decision. It's out of my control. There's nothing I can do about that. It's up to them. It's up to management. I think just having a good summer, pushing myself and just coming back as the best version of myself is all I can do."
Pittsburgh center Evgeni Malkin had surgery on his right knee Friday and will be unavailable for training camp. It is unknown if Malkin will be ready for the start of next season. The Penguins said they're hoping to have a time frame in September.