The Liverpool boss is braced for an emotional reunion with many of his former players.
The first leg of the quarter-final clash comes at Signal Iduna Park on Thursday as Klopp prepares for an emotional return to the club he left just last summer, after eight successful years with Die Borussen which included two Bundesliga titles and a Champions League final spot in 2013.
The 48-year-old brought Aubameyang to Germany in 2013, and the Gabon striker admits that he is looking forward to teaming up with his former coach once more.
Under Thomas Tuchel, Dortmund have excelled in Klopp's absence, and Aubameyang is also relishing the prospect of showing the Reds manager just how far they have come under the new man.
"It is very great for us to have this game," he is quoted as saying by The Mail. "We can show him that we have worked hard to get back to where we were and that we have progression. It will be a very difficult game, for sure, but we want to show Klopp that we are working very hard.
"I do not know what I will say when I see him again. All I know is that it will start with hello! We will speak a little bit in German, maybe. We will see what happens."
Liverpool welcome Dortmund back to Anfield on the following Thursday, but Klopp will be wary of his former side effectively killing off the tie before then.
In the last round, Dortmund sent Tottenham Hotspur back to North London with a demoralising 3-0 defeat which made the second leg at White Hart Lane something of a dead rubber, though Tuchel's side won that, too.