BVB are rock bottom of the Bundesliga after 19 rounds of action, two points from safety following Wednesday night's dismal 1-0 loss at home to Augsburg.
A chorus of whistles greeted Dortmund's latest setback, prompting captain Mats Hummels and vice-skipper Roman Weidenfeller to go into the crowd to speak to disgruntled supporters, and Klopp admitted that he can understand the fans' frustration.
"We can be accused of anything tonight and it is all justified," the under-fire BVB boss told reporters after the game at Signal Iduna Park.
"Battling also means having the courage to take the right decision. We were missing that tonight.
"It hurts, no doubt. We are doing everything wrong at the moment. We are not making anything of our chances."
Hummels, meanwhile, added that the players had no issue with the supporters expressing their anger with the team's current predicament at the full-time whistle.
"If one is in this position after 19 games then it would be unacceptable not to have understanding of the fans' reactions," the centre-half said.
Dortmund now face a crucial Bundesliga clash with 15th-placed Freiburg this weekend.
