The Bayern chairman believes they are not through to the next round just yet and believes they can write history under Pep Guardiola next termBayern Munich's 2-0 victory over Juventus in the first leg of their Champions League quarter-final tie was the perfect result but has warned that the Bavarians are not there just yet.
Goals from David Alaba and Thomas Muller helped Bayern to a crucial home win last week, but Rummenigge believes they must score at least once in the return in Turin in order to secure progress to the semi-finals.
"The game against Juventus was a dream result. We’ve had a good season but we have to be careful because we know that Italians can come back really strong under these circumstances. We need to score one goal in the second leg to make things a little safe," the Bayern chairman told The Times of India.
The Allianz Arena side beat Eintracht Frankfurt at the weekend to clinch the Bundesliga title and they have now set their sights on the Champions League and DFB Pokal in order to win a historic treble.
"We have had a rich history but have never achieved a treble. We aren’t too optimistic but we aren’t pessimistic either. The Champions League is very high quality football and we have been hard done in a couple of finals in the past years. So, let’s say we are not confident but we do dream."
Rummenigge then went on to discuss the arrival of Pep Guardiola at Bayern at the end of this season and he believes they can write history with the Spanish coach at the helm.
He added: "Pep said Bayern are a club he likes and it followed almost his own philosophy. It was like a love affair. He will be the right person.
"He respects the culture and philosophy of Bayern and this is what could make his stint successful. With him, we can write an important part of history next year. Pep is such a normal person. He’s everything but arrogant. He respects the Bavarian culture and doesn’t want to change the philosophy dramatically."