The Blues earned that opportunity by defeating the Boston Bruins 2-1 in Game 5 of the Stanley Cup Final at TD Garden on Thursday to take the lead in the best-of-7 series.
"Our team was gutsy tonight," St. Louis coach Craig Berube said. "Our goalie was good and our team was gutsy."
[WATCH: Blues vs. Bruins Game 5 highlights | Complete series coverage]
Jordan Binnington made 38 saves in setting an NHL record for most road wins by a rookie goalie (nine) and tying the record for most wins by a rookie goalie in a single postseason (15).
Ryan O'Reilly scored his third goal in the past two games and had an assist on David Perron's goal in the third period.
The Blues are 7-1 in Games 5-7 of these Stanley Cup Playoffs. They can win the Cup in Game 6 at Enterprise Center on Sunday.
"I can only imagine how exciting it's going to be there," St. Louis defenseman Colton Parayko said.
Video: STL@BOS, Gm5: O'Reilly scores off Sanford's nice feed
Jake DeBrusk scored, and Tuukka Rask made 19 saves for the Bruins.
"Bottom line you have to be ready for Game 6," Boston center Patrice Bergeron said. "That's all we can really worry about and that's all we can focus on."
Boston captain Zdeno Chara played 16:42 with a facial injury that required the defenseman to wear a plastic jaw protector attached to his helmet. He was injured blocking a shot in the second period of Game 4.
"He was medically cleared with some warnings. He made the decision to play," Boston coach Bruce Cassidy said. "Inspirational for us, good player for us. We knew he wouldn't be 100 percent. We're happy to have him out there but it just speaks a lot to his character and his role."
Binnington made 17 saves in the first period, which ended 0-0.
"He was unbelievable in the first when we didn't really have our legs and got caught on our heels a bit," O'Reilly said. "We were able to get through when they had some really Grade A chances. He made some huge saves. We just hung on. It was huge going into the second to respond."
They did when O'Reilly gave them a 1-0 lead 55 seconds into the second, scoring off a between-the-legs pass from Zach Sanford that was delivered from behind the goal line with his back to O'Reilly.
O'Reilly also scored two goals in Game 4, a 4-2 win. He scored one goal in the previous 17 games.
"He looks energized to me, more jump in his stride out there, and he's finishing," Berube said. "He gets chances all the time, but he's finishing right now."
The Bruins thought they may have tied it at 7:00 of the third period when David Pastrnak tried to push the puck under Binnington, but the officials did not call it a goal on the ice. The Situation Room initiated a review that supported the referees' call that the puck didn't completely cross the goal line.
Perron scored 3:36 later to make it 2-0. The puck came back to him in the right circle after his attempted pass to Tyler Bozak hit Bruins defenseman Torey Krug, and Perron banked a shot off Rask's right pad.
"[O'Reilly] created a loose puck for me and I'm happy he saw me because I felt like there was going to be an opening that was going to be created if he gets it to me," Perron said. "Sure enough, he did."
The Bruins didn't feel Perron should have had the chance to score because they thought Bozak should have been called for a penalty when he took down Boston forward Noel Acciari near the left-wing half wall.
"It had a big effect on the game," Cassidy said.
Cassidy said Acciari was taken off the ice by the NHL-approved concussion spotter. Acciari didn't play the remainder of the game but afterward said he was fine and would be ready for Game 6.
"Tough pill to swallow, but the game goes on and you've just got to say, 'Next; next shift,'" Acciari said. "We battled hard. We battled back. Jake with the big goal. We came up a little short. Again, Game 6, win or go home."
DeBrusk scored on a one-timer from the right circle to make it 2-1 with 6:28 remaining. Binnington saved the last five shots he faced.
Video: STL@BOS, Gm5: Binnington gets help for huge late save
They said it
"I try to keep everything in perspective and calm and cool as much as I can. It's hard. And it's hard for the players too, but it's important that we keep our heads and keep level-headed knowing we've got a big job ahead of us for Game 6." -- Blues coach Craig Berube
"We understand what we need to do, it's just a matter of putting in a full 60. It's not that easy. It's obviously going to be tougher and tougher as the games go along. They're one win away, that's what they're thinking over there. We've just got to go into St. Louis and win a game." -- Bruins forward Jake DeBrusk
Need to know
Since 1939, when the NHL went to a best-of-7 format, the team to win Game 5 of the Cup Final to take a 3-2 lead has won the Stanley Cup 72 percent of the time (18-7). ... Bruins defenseman Matt Grzelcyk (concussion protocol) missed his third straight game. Cassidy said Grzelcyk wasn't cleared by the medical staff. ... Boston eliminated the Toronto Maple Leafs in the Eastern Conference First Round by winning Game 6 at Toronto and Game 7 at Boston. Game 7 of this series would be Wednesday at Boston. ... Patrick Roy (Montreal Canadiens 1986), Ron Hextall (Philadelphia Flyers, 1987), Cam Ward (Carolina Hurricanes, 2006) and Matt Murray (Pittsburgh Penguins, 2016) are the other rookie goalies to win 15 games in a single NHL postseason. Only Hextall did not win the Stanley Cup. Hextall won eight road games.
Game 6 of the Stanley Cup Final at Enterprise Center on Sunday (8 p.m. ET; NBC, CBC, SN, TVAS)
Video: Blues on cusp of first Cup title after 2-1 win