The Bruins will play either the New York Islanders or Pittsburgh Penguins in the second round; the Islanders can end the best-of-7 series with a Game 6 win on Wednesday (6:30 p.m. ET; NBCSN, CBC, SN, TVAS, MSG+, ATTSN-PT).
Last season, Rask opted out of the playoffs, a decision announced on Aug. 16, 2020, less than two hours before the Bruins opened the Eastern Conference First Round against the Carolina Hurricanes, because of a family emergency with one of his daughters.
Asked if he felt physically ready to play beyond this season, Rask said, "I'm not going to answer that right now. I'll talk to you after the season. You'll find out."
The Bruins goaltending has gotten simpler and more complicated with the emergence of rookie Jeremy Swayman, who arrived in the NHL ahead of schedule when backup goalie Jaroslav Halak contracted COVID-19 in April with Rask out because of an upper-body injury.
Swayman played 10 games down the stretch in the regular season and was 7-3-0 with a 1.50 GAA, .945 save percentage and two shutouts, and the 22-year-old was named the backup for the playoffs ahead of Halak.
"The way he's played has given us some thoughts of what direction we may go in compared to where we were maybe two months ago," Neely said of Swayman on May 12.
That could impact Rask's future. It almost certainly will affect Boston's interest in re-signing Halak, who also can become an unrestricted free agent.
Rask had an injury-marred 2020-21. He played one period (on March 25) between when he was injured in a game against the New Jersey Devils on March 7 and when he fully returned on April 15. He was 7-1-0 with a 2.07 GAA, .923 save percentage and two shutouts in his last nine starts and finished the regular season 15-5-2 with a 2.28 GAA, .913 save percentage and two shutouts.
"I think he's been extremely dialed in this past series," Neely said. "I thought he played really well. He was very poised. He was very square to the puck in my opinion. I thought he handled rebounds really well and he got out and played some pucks, which certainly helps the defensemen."
Neely said he had not spoken to Rask about his desire to play beyond this season.
Discussing Rask and center David Krejci, also a pending unrestricted free agent, Neely said, "My guess is that they would (continue to play with Boston). I think they both would probably like to finish their careers as Boston Bruins. So let's see what happens this offseason. There's something to be said for playing for one organization, and right now that's what it's looking like for both Tuukka and David."