After a scrimmage Wednesday, Crosby was one of the last two skaters on the ice. The 33-year-old center led the Penguins with 62 points (24 goals, 38 assists) in 54 games this season.
"I think Sid elevates his own game at this time of the year," Pittsburgh coach Mike Sullivan said. "That's just been my experience coaching him for the last six years. I know how excited he gets to play this time of year. He wants to win in the worst way. I think when he comes to the rink he exudes that. Just the way he carries himself, the way he interacts with his teammates, both on the ice and off the ice. And I think our players recognize it. Certainly our coaching staff does.
"I think that's what makes him the leader that he is. When the stakes get high, he's at his very best. The expectation is everyone is going to elevate their game to give this team the best chance to be successful."
Defenseman Kris Letang and center Evgeni Malkin are among the leadership group for the Penguins and were part of the three recent championships. Pittsburgh has lost nine of its past 10 playoff games, and Crosby said he realizes the three may not have many more opportunities remaining.
"We don't really talk about it," Crosby said. "I think it's enough when you have to prepare and get ready to start. So we're excited. We've been fortunate enough to share a lot of playoff games together, and important ones."
The Penguins are built similarly to the teams from 2015-16 and 2016-17, which had Crosby, Malkin and Nick Bonino as the top three centers.
Forward Jeff Carter could be the third-line center, filling the role of Bonino, who signed with the Nashville Predators in the 2017 offseason. Since he was acquired in a trade from the Los Angeles Kings on April 12, Carter has scored nine goals in 14 games, including five in his past two. He was the second-line center before Malkin returned May 3 after 23 games with a lower-body injury.
"I think [depth] is a strength of ours, for sure," Crosby said. "You don't have success without having depth. It becomes even more important come playoff time."