In Game 7 on Friday, Demko allowed one goal on 34 shots, but the Canucks lost 3-0 to the Golden Knights at Rogers Place in Edmonton to fall one win short of reaching the Western Conference Final.
"We wouldn't be in this situation without him," Vancouver captain Bo Horvat said. "We would have liked to have helped him a little more, maybe he doesn't get peppered as much as he did, but he stood tall. He was a brick wall for us."
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Demko allowed two goals on 125 shots in Games 5, 6 and 7, his first three NHL postseason starts, for a .984 save percentage.
"I felt great the whole game," Demko said. "No fatigue. I wanted to keep doing my job. I hadn't played many games, so I had a lot in the tank."
The 24-year-old made 42 saves in a 2-1 win in Game 5 and had a 48-save shutout in Game 6, a 4-0 victory. Demko had to start after Jacob Markstrom was unfit to play after Game 4 of the best-of-7 series.
Vegas outshot Vancouver in every game, including 36-14 in Game 7 and 273-169 overall.
"There was times it felt like we could have played for six hours and not scored on him," Vegas coach Peter DeBoer said. "I mean, what he did and the lightning they caught in a bottle the last three games with him and how he played, what I'm proudest of is how our group stuck with it."
Demko went 138:40 and made 98 saves between goals by Golden Knights defenseman Shea Theodore, the first at 15:12 of the second period in Game 5 and then the winning goal in Game 7 at 13:52 of the third period.
"I thought it was way more than 98, to be honest, I thought it was a couple hundred," Theodore said. "He's a great goalie. I thought we had a lot of quality chances. ... It was good to see that one go in."