The Reds in their pre-season won three, lost three and one draw, and Klopp believes their defeat in the Community Shield to Manchester City was marred by a difficult pre-season they had.
Despite losing on penalties to City, Klopp also commended the performance of his team.
“I thought they looked pretty hungry. That doesn't mean it will work out but we fought today.
"After all the things that were said about the competition, both teams wanted to win it desperately, I saw that.
"My team is not in doubt about being satisfied or whatever, to stop working or stop running. The character of the team is still incredibly good.
"We had a difficult pre-season but the boys did what they had to do and were affected by it. We played football games against really good teams and that didn't feel too good.
"It was very important we all gave ourselves and our supporters a sign of the performance today. Now let's carry on."
Liverpool in their Premier League opener will host newly-promoted side Norwich City on Friday.
The Reds will look to win the Premier League trophy this time around, having been pipped to title by just a point by Manchester City last season.