"The emergence of Cory to be so outstanding as a young goalie changes the landscape," Gillis admitted. "We're in the middle of a changing landscape that we need to evaluate properly."
Luongo and Schneider shared the starters role for parts of the regular-season, while the team leaned on Schneider in their last three games of the first round.
"Everyone inside our organization believes that (Luongo and Schneider can play together), because we've watched it," Gillis said. "They've supported each other. I think they've become better goalies because of one another. So, if that's our worst case scenario, it's not bad. Either one of them gives us an opportunity to win every game we play."
Luongo, 33, has 10-years remaining on his 12-year contract, with an annual salary cap hit of $5.333 million.
The Montreal native indicated the season didn't go exactly as planned, and it was disappointed in his lack of playing time towards the end of Vancouver's season.
"Obviously, it wasn't easy. I think that goes without saying," Luongo said. "When you're a starter and you're a competitor, and you want to play and you want to help the team, that is not something that you're going to take. But at the same time, I didn't want to put myself ahead of the team.
"I think Cory was in a spot where he had earned it. I think he played extremely well not only this year but last year, as well. I wanted to win just as bad, whether I was in or not."
Luongo, who met with Gillis this afternoon to discuss a game plan moving forward, confirmed that he would waive his no-trade clause if the Canucks ask him to. Contrary to some online reports, though, he has not submitted a list of team's he'd accept a trade to.
"Yeah, of course," he said. "If they asked me to. I don't want to be one of those guys that's going to stand in the way of anything.
"It's going to be what's best for the team. Whatever scenario that is, I'm okay with it. Whether that involves me being here or not is okay. I think we've got a lot of potential in that locker room, there's a great core of guys.
"I've always been about the team first. Obviously, they've got a guy here that is going to be a superstar in this year for the next 10, 12, 15 years. I'm okay with that as well. It is a business, and that's the way it goes. I loved being here the last six years. If I'm here in the future, then great. If I'm not, that's good also."
Several teams would like to upgrade their goaltending position this summer, including the Toronto Maple Leafs, Tampa Bay Lightning and Columbus Blue Jackets. Whether Luongo's willing to accept a trade to either of those three teams, though, remains to be seen.
"Roberto Luongo's body of work in unquestionable," Gillis stated. "He is a proven All-Star. He's done everything you can do except win a Stanley Cup. I have every bit of confidence in him moving forward, and I have every bit of confidence in Cory."