Bayern won 3-0 to reach the quarterfinals 3-1 on aggregate.
Tuchel said: "We had great expectations, we wanted to qualify for the quarter-finals. The first objective was to score and tonight we never lost our heads or our concentration.
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"Minute after minute we found spaces better and better, we found the goal at the right time and I think the victory is deserved.
"Tonight we celebrate, we enjoy the evening. Then starting tomorrow we will analyse the match and start preparing for the next Bundesliga match. I always have high expectations of myself.
"The teams that reach the quarter-finals all dream. The clubs, the fans and me too..."