"We know that when we go over there one goal counts as a wee bit more than that, and if we can grab one then they have to score two at least".
Liverpool created plenty of chances, but not enough to breach the Bayern goal, and this game was ultimately a world apart from those first-leg hammerings of Manchester City and Roma en route to last season's final against Real Madrid in Kiev. It was because of Bayern's defensive game plan, and how well they executed it.
The result leaves it all to play for in the second leg in Munich on March 13, although the German side will be without defender Joshua Kimmich who will be suspended after picking up a yellow card.
"We have reached our goal and earned a draw, now we have to see that we finish the job at home".
Klopp, for his part, insisted that Liverpool can go to Munich and "hurt Bayern".
It isn't often that Bayern Munich celebrate a 0-0 draw as if it were a win.
Liverpool will have to improve their European away form, however, after losing all three group games on the road in the Champions League this season.
It means the tie is left perfectly balanced.
"I am sure Bayern feels better than we do, but we have three weeks and day by day the result will feel better for us and worse for Bayern", Klopp, 51, said. "We have to play very well in the second game", said Rummenigge.
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"We can not change it, we had the 10-day break and now we will not have any break anymore, now we play through - and if it was a problem then we will not have that problem anymore because now we play every three days".
Klopp, though, was disappointed with Liverpool's final ball and felt sloppiness limited the amount of times his side could open Bayern up. At times he took a couple of chances with his tackling, but he always got it right.
What is a good result for Liverpool? Matip then missed a fantastic chance after good work from Salah and Roberto Firmino. It would put them back in top spot for a start.
'We will need to control the ball, otherwise they will come at us like a wave, ' he told TZ.
It would have been easy for them to pour forward to try to break Bayern down in the second half, but they kept their shape and produced a disciplined and mature performance.
Mark Lawrenson was speaking to BBC Sport's Chris Bevan.