"Our hope is that there's a chance that all these guys will be available at some point here in a fairly timely manner," Sullivan said. "We're reluctant to put any timeframes on it just because I don't think it makes sense. I think when these guys get close, we'll let you know.
"You're going to see it anyway because they're going to join us at practice. But we are hopeful that we'll get all of these guys back."
In the meantime, the Penguins are comfortable with Fleury as the starter. He had a 2.52 goals-against average and .933 save percentage in the five first-round starts. He allowed four goals on 123 shots in three home starts during the series.
Pittsburgh ended the best-of-7 series with a 5-2 win in Game 5 at PPG Paints Arena on Thursday, when Fleury made 49 saves on 51 shots.
The Penguins will face either the Washington Capitals or Toronto Maple Leafs in the second round. The Capitals lead that best-of-7 series 3-2 with Game 6 at Air Canada Centre on Sunday (7 p.m. ET; NBCSN, SN, TVA Sports, CSN-DC).
"We like [Fleury] a lot. I've played with him for like 10 years and he's a very good guy, a good goalie," Penguins forward Evgeni Malkin said. "It's been a tough year. The last year has been tough for him, but he's still smiling. He's an amazing guy.
"We like Murray too. The injury, this year [there have been] so many for him. It's a tough season for him, but I hope he's back. Both goalies are No. 1 on this team. But [Fleury] has played really well. I think he starts next series."
Murray, who went 15-6 in the Penguins' run to winning the Stanley Cup last spring, missed the first nine games of the regular season after breaking his hand on Sept. 19 while playing for Team North America in the World Cup of Hockey 2016. He made 32 saves in his first start, a 5-1 win against the Anaheim Ducks on Nov. 2.
