BOSTON — Daniel and Henrik Sedin have been anticipating this moment ever since the Vancouver Canucks drafted them in the same building where they’ll try to win the Stanley Cup on Monday night.

The Swedish twins joined the Canucks at TD Garden in 1999, simultaneously pulling on Vancouver’s old Orca sweaters. Nearly a dozen years later, they’ve got their first chance to win Vancouver’s first championship in Game 6 of the finals against the Boston Bruins.

And if the NHL’s highest-scoring duo can manage to score more than the single goal they’ve produced in the entire series against dominant Boston goalie Tim Thomas, it would help the Canucks’ cause immensely. The Canucks might be on the brink of a title, but they still see ample room for improvement in their sprint to the finish.

“We’re still confident,” captain Henrik Sedin said Sunday. “You lose confidence when you’re cheating or doing things wrong, but this is a tough team. ... We’re battling hard. They’re a good team. We know we aren’t going to get the chances maybe we get usually. That’s the way it is. We have to bear down and get chances, and find a way to beat Tim Thomas.”

The confounding struggles of the NHL’s past two scoring champions — Henrik has been shut out, and Daniel scored his two points in an 11-minute span of Game 2 — are just one strange aspect of these compelling finals, which began with a bite and grew to include taunts, a devastating late hit and plenty of media sniping from both dressing rooms.

They’ll go to Game 7 in Vancouver on Wednesday if the Bruins defend the Garden ice again in a series dominated by the home teams.

“We don’t want to see anybody raising the Cup on our home ice,” Boston defenseman Dennis Seidenberg said. “We can’t focus on the future or on the past. We have to be in the moment in Game 6.”

Boston has outscored Vancouver 14-6 in the series, and Thomas has flummoxed the Canucks with a performance that seems likely to win him the Conn Smythe Trophy as the playoffs MVP even if the Bruins lose the series.