The French team sealed their place in the top European football club competition with a 3-1 home win against the German visitors on Wednesday (NZT Thursday).
Dortmund coach Tuchel had few complaints, telling reporters: "We started well with one or two unsafe moves where we found some space and then conceded an unlucky goal".
The semifinal draw on Friday will include Monaco, Juventus, Real Madrid and Atletico Madrid.
A gendarme holds a crowd control weapon ahead of the Champions League quarterfinal second leg soccer match between Monaco and Dortmund at the Louis II stadium in Monaco, Wednesday April 19, 2017.
Bartra was there to support his teammates in Monaco, but it was another hard night as their bus was delayed in leaving for the ground, held up by police for security reasons.
"Juventus is a great team and they were better than us", Barcelona defender Gerard Pique said. I had the feeling we were focused and full of joy and happiness to play this game.
"But after 16 or 17 minutes nothing had happened and we asked why we were not moving".
If Dortmund are going to overcome Monaco, with away goals certainly not on their side, then Reus will need to perform.
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That didn't happen on Monday night once the Bruins fell down by a couple of goals early in the game. The Bruins took a 3-1 lead as the teams combined for four goals in the second period.
The visitors started slowly, and the task of overturning a first-leg deficit became substantially trickier after conceding two early goals and watching Nuri Sahin's curling free-kick strike a post at the other end.
Marco Reus has returned to first-team action and should start against Monaco with Borussia Dortmund 3-2 down from the first leg.
"The bus departure was fixed for 7:15pm, we were all there at 7:15, ready to leave", he explained.
Monaco needed just three minutes to take the lead on the night and extend their aggregate advantage as Mbappe forced home the rebound after Benjamin Mendy's initial effort was parried by Dortmund goalkeeper Roman Burki.
Dortmund star Marc Bartra is still missing as he recovers from last week's bomb attacks What are the Monaco vs Borussia Dortmund teams?
Despite his impressive displays this season, Ousmane Dembele was left on the bench, a puzzling move from Thomas Tuchel.
Dortmund looks to recover after an lucky showing, which saw Monaco score on an own goal and another that was way offside.
Those games could go a long way to shaping Monaco's season.