Jurgen Klopp has hailed Liverpool's "dirty three points" against Wolves but bemoaned the way they started the match.
The Reds have been in a wretched run of form but have now recorded successive wins following their European success over RB Leipzig last week.
Klopp acknowledged that their trip to Molineux was solely about the result and Diogo Jota's first-half strike proved to be the winner.
But Liverpool were fortunate not to concede an early penalty when Alisson scythed down Nelson Semedo.
Wolves continued to press, but the visitors stood firm before asserting their influence on proceedings.
And Klopp, while being happy with the result, felt their slow start was not good enough.
He told Sky Sports: "It's all about the result. A big fight. If we want three dirty points, I'm fine with that. We had very good moments where we should have done better.
"Defensively the whole game was really good. I didn't like the start, we weren't active enough.
"We defended well, we counter-attacked. A lot of really good football moments. The goal we scored was beautiful. I thought the goalie would have saved it but it was in.
"A lot of good news tonight but most important, the three points.
"We want to go into the [international] break with a positive feeling and we have it."
The Reds will now have three weeks until their next game due to the international break and the FA Cup.
Liverpool's win over Wolves was overshadowed by a head injury to Rui Patricio who clashed with team-mate Conor Coady.
He received medical attention before being taken off on a stretcher.
"It was an awful situation," said Klopp. "I have spoken to Wolves staff, they are rather positive. It was a proper shock."
Nuno Espirito Santo has confirmed that his goalkeeper is "conscious and remembers what happens".
