In attempting to ease the pressure on his players, who finished runners-up to Bayern in the league and Champions League last term, Klopp joked: "If we don't beat Augsburg, then we should give up and go home.
"There would be no point in continuing."
Rather than targeting Bayern, Klopp merely asks his players give their all over the coming months.
"All we want to be is the most uncomfortable opponent every side in the Bundesliga and Europe comes up against this season," he said.
"We never feel that we are going to be totally inferior to Bayern each time we play them, only they have a more natural quality about them than we do.
"With the squad they've got they are able to react to almost every situation, but we can't.
"And let's not forget that we finished 25 points behind them, and I don't think anybody here felt we had a catastrophic season."
Klopp is certainly not expecting an easy start at Augsburg.
"It's going to be a tough challenge," he said. "Augsburg played a great second half of last season."
It was not the first time that Augsburg came on strong after the winter break, but their coach Markus Weinzierl is keen on his side starting the campaign better this year.
"We want to stay up again, even if many experts are again saying we will go down," he said.
"We want to prove these experts wrong once again, as we have done twice already.
"We fought very hard last season to be here again and now we're looking forward to starting against Dortmund."