Liverpool manager Jurgen Klopp said his team's 4-1 victory over Manchester City was "very satisfying" but revealed he still wants more from his men.

The German also refused to say whether beating the title favourites in such style was the best performance since he joined the club on Oct. 8.

"It was very satisfying," he said. "If it was the best I'm not so sure because I don't really compare games. For tonight, it was good, but not perfect because we missed many chances."

An own goal from Eliaquim Mangala was followed by strikes from Philippe Coutinho, Roberto Firmino and Martin Sktrel, where City's sole goal came from Sergio Aguero.

Firmino, a £29 million summer signing from Hoffenheim, starred as a "false nine" with strikers Christian Benteke and Daniel Sturridge not considered fit enough to start the match.

Klopp, though, said: "It was not a night where we have to talk of one player. He was not bad, of course. I told you a few weeks ago that I know about his quality and how he could train in 12 days with us without interruption. The same is with Phil Coutinho and that's the reason we played like this in a formation like this.

Martni Skrtel and Liverpool ran riot over Manchester City on Saturday. AFP PHOTO / OLI SCARFF

"We tried to put as many players as possible on the pitch who have trained together this week," Klopp continued.

Neither Firmino nor Coutinho were selected for Brazil's World Cup qualifiers last week and have been training at Liverpool's Melwood training base during the international break.

"What we've tried to do is see and feel things develop," said Klopp. "We can do better than tonight but maybe not in counter-attack."