Tortorella is also thrilled for his players, many of whom have never been to the second round.
Goalie Sergei Bobrovsky, injured defenseman Adam McQuaid, and forwards Brandon Dubinsky, Ryan Dzingel and Riley Nash are the only players on Columbus' roster to have played a game past the first round.
"I was asked by [NBC broadcaster] Pierre [McGuire] during a timeout as far as do you tell your players to keep their composure," Tortorella said. "Not for a second. I mean as far as not being too excited, and I told him, 'No, I want them to enjoy this.' We were composed in how we play, I wasn't worried about that. I want them to enjoy this to see what the building is.
"I want them to experience it and have fun doing it."
He loves how they did it, with will and determination, especially after falling behind 3-0 in the first period of Game 1.
"I'm standing at the bench as the games we're playing and talking about some backchecking things we needed to do to play against this team, and I'm listening to the bench when some guys aren't doing it and I don't have to say a word because it's coming from them," Tortorella said. "I looked at [assistant Brad Larsen] in Game 3, I heard people screaming at one another to backcheck.
"For a coach, it's really cool to see that, because it's usually the coach doing all the yelling about that. You could see that they had an opportunity against a really good team and they didn't want to see this go by."
Tortorella said he feels especially good for Bobrovsky because he has been dogged in the past for being a goalie who couldn't win in the playoffs. Bobrovsky went 4-0 with a 2.01 goals-against average and .932 save percentage in the series; he had been 5-14 with a 3.49 GAA and .891 save percentage in his previous 24 playoff games.
"I'm happy for him," Tortorella said. "He's not crazy about what I have talked about with some of the situations he's gone through, but it's my job to hold people accountable. I'm thrilled that he's answering. He's answering. He's got a bit of a burr, and that's a pretty good thing for an athlete to have."
The Blue Jackets will enjoy some well-earned days off Wednesday and Thursday. They'll be back at the rink Friday, together again to begin preparations for the second round.
"It's only one round," Tortorella said.