The Spanish Giants took a giant stride towards the UEFA Champions League final four by winning the first leg of their quarter-final tie 3-0 last week.
Real were hammered 4-1 by a Robert Lewandowski-inspired Dortmund in the semi-final of the competition almost 12 months ago.
Poland striker Lewandowski scored all four goals as Real were swept aside at Signal Iduna Park and a 2-0 victory for the Liga side in the second leg at the Bernabeu was in vain as Jurgen Klopp's side hung on to secure their place in the final.
Dortmund's chances of pulling off a stunning comeback are enhanced by the return of Bayern-bound striker Lewandowski for the second leg.
The prolific frontman missed the first leg due to suspension, but he is set to lead the line against Carlo Ancelotti's treble-chasing side.
He told the club's official website: "We haven’t given up yet. It will be tough if we play like we did in the first half (against Wolfsburg).
"But if we play like we did in the second half, we might have a chance. It will be very tough, but we will give our all. Anything is possible in football."
Ancelotti's side hammered Real Sociedad 4-0 on Saturday to stay in the hunt for a treble of La Liga, Copa del Rey and Champions League, but their win came at a cost as Gareth Bale suffered a knee wound when he was caught by Sociedad defender Markel Bergara.
The Wales international may be forced out of the second leg, but FIFA Ballon d'Or-winner Cristiano Ronaldo could be back in the side after returning to training.
