On Sunday, Klopp's side lost their eighth Bundesliga match of the season when after suffering their Eintracht Frankfurt eased passed Dortmund 2-0 at home.
Klopp is refusing to give up hope that he can turn things around.
"I understand that journalists have those thoughts, but there is no such trend. I see myself as responsible." said Klopp to Sky Sports.
"If it is only about luck and a change of coach can bring that, you only have to call me up and I will step aside.
"But it is not so simple. As long as nobody comes and says to me, 'we have someone who does it better', then I cannot go.
"I won't stand in the way, but I cannot go before there is a better solution, the responsibility is great and I can accept it."
Dortmund are last placed in the Bundesliga title and are 22 points adrift of Bayern Munich.
Dortmund's season looks like this:
Played 13, won 3, drawn 2, lost 8, goals scored 14, goals conceded 21, points 11.