The prospect of an all-German final now looms large with Bayern Munich taking a 4-0 lead to the Camp Nou to face Barcelona Wednesday.
But while Bayern still has work to do, Dortmund can now relax in the knowledge they have booked a dream date with destiny, despite suffering a first defeat of the competition.
"We knew if they scored a goal in the first half, the crowd would get euphoric and loud," Mats Hummels told ITV.
"We had the game under control but with the goal the whole game changed - like the game against Malaga.
"It's unbelievable; something everyone in the team dreamed of since being an child. Some of us are still children. We are looking forward to Wembley."