Dortmund remain rooted to the foot of the Bundesliga table after losing 1-0 at home to 10-man Augsburg on Wednesday.
The defeat is the 11th of the season for the 2013 Champions League finalists and led to some of the players apologising to fans after the final whistle.
But Klopp, who took over at Dortmund in 2008, insisted he has no plans to walk away, saying: “I can rule out resigning. After only two games this year, the tank isn’t completely empty.
“Resignation wasn’t on my mind on Wednesday, so accordingly it’s not an issue for me.”
Klopp has been given a job guarantee by Dortmund CEO Hans-Joachim Watzke on the back of four successful years which saw the club win the title in 2011 and 2012 and come second in the following two seasons.
But he is under pressure after the latest defeat to Augsburg and called on his side to ‘get a grip’ on the situation.
“The fact that nerves play a role in a situation like this is beyond question. We need to get a grip,” he said.
“We have to give the boys some faith back. It’s something we have already been working on the whole time, but clearly not enough.”
Klopp also admitted he was surprised how badly his side reacted after Raul Bobadilla scored Augsburg’s 50th-minute winner as panic set in.
“I thought we were above that, but we were badly shaken after conceding that goal,” he said. “Our decision-making is poor. We have to be more courageous to allow ourselves to make the right decisions.”
Dortmund will be without Kevin Grosskreutz for six weeks after the Germany midfielder tore a thigh muscle and he joins Ilkay Gundogan, Erik Durm and Lukasz Piszczek on the injury list.