Eintracht Frankfurt 2-0 Borussia Dortmund

Dortmund boss Jurgen Klopp consoles striker Pierre-Emerick Aubameyang after the Frankfurt loss

Borussia Dortmund coach Jurgen Klopp says he will not quit despite taking "full responsibility" for his team's slump to the foot of the Bundesliga.

Last season's runners-up are bottom after 13 games following Sunday's 2-0 defeat at Eintracht Frankfurt.

"There's no tendency for a coaching change," said Klopp, who led Dortmund to the 2013 Champions League final.

"Until someone comes along and tells me otherwise, I can't go away. I can't go until there's a better solution."

Klopp, who steered Dortmund to back-to-back German titles in 2011 and 2012, has watched his side cruise into the Champions League knockout phase by winning four of their five Group D matches.

But their domestic form has been totally different with the team losing eight matches in their worst start to a German top-flight season.

"If it was only based on luck, and if a coaching change was guaranteed to bring the luck back, then I wouldn't stand in the way," Klopp added.

Frankfurt captain Alexander Meier - the Bundesliga's top scorer - fired in the early opener with his eighth goal of the season.

And a mis-timed header from Dortmund defender Matthias Ginter allowed Switzerland striker Haris Seferovic to out-sprint visiting goalkeeper Roman Weidenfeller and tap in Frankfurt's second.

Dortmund, who have 11 points from 13 matches, dropped to the bottom of the table on Saturday after Werder Bremen and Stuttgart picked up wins over Paderborn and Freiburg.