
Klopp's side looked set for a crucial victory in their chase for the Champions League football on Wednesday, having recovered from Benik Afobe's early goal to lead 2-1 through finishes from Philippe Coutinho and Divock Origi.
It was a sign third placed Liverpool could still find goals in the absence of injured top scorer Sadio Mane.
Liverpool's Klopp says Sadio is the Man-e
But there was a setback for Klopp as Coutinho, who was sick in the dressing room at half-time, had to come off with 25 minutes to go.
And the manager said that he felt ill himself after Joshua King scored for Bournemouth with three minutes to go at Anfield.
"We had to change Phil because he felt sick at half-time,” said Klopp. “He said he feels better now, so that is good, but it was clear when he made a signal that we had to make a change.
Liverpool losers must accept attacks, says Klopp
"There's no joy when you have to take off your best player. He played really well. We could have closed the game in one moment, but we didn't, we left it open. Then they scored from the second ball after a set-piece and it made me nearly vomit.
"We have to recover. It's one point more than before. It's not what we wanted but we could have been worse. We have lost already games like this this season and today we didn't so maybe that is a positive.
"We have to take it. It is my responsibility all of this, I have to be more clear but we will find a solution. Our set-pieces tonight I thought were really good."
Liverpool have made a habit of committing defensive errors this season and did so again, as Georginio Wijnaldum's under-hit back pass allowed Afobe to give Bournemouth a seventh-minute lead.
Klopp insisted that he took responsibility for any mistakes his players make, adding: "When my son does something that is not right, probably I have some part of the responsibility. I should have explained better.
"The bad things are my responsibility, the good things are the responsibility of the players. I think that is a good deal because I have the age to get it."
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