In the heat of southern Italy, though, Liverpool produced their worst performance of the campaign, with even basic defending and midfield pressing lacking.
Liverpool, who were held to a disappointing draw by promoted Fulham on the opening weekend, have been hit with injuries to several key players.
Salah, who scored 31 times for Liverpool last season as they won the domestic cup double, put pen to paper on a three-year deal last month.
Klopp did not dwell on that misery for more than 24 hours as he quickly turned his attention to the coming season.
The Egyptian winger extended his contract with the Reds, putting an end to all the speculations that linked him with a move away from Anfield.
Origi played a key role in Liverpool's Champions League triumph in 2019 and he leaves the club after scoring 41 goals in 175 appearances.
Salah, who missed his team's 2-1 win over Southampton for injury, is in contention to win the Premier League's top goalscorer award for the third time in history.
The 30-year-old has scored 20 goals in 44 appearances for Liverpool this season, including six in his last seven, as the club seek to secure an unprecedented quadruple.
Klopp's side are bidding to become the first English club to lift all four major trophies in a single season.
With only one point separating City and Liverpool, Klopp praised his team's improvement and said both clubs have pushed each other to get better.
That was the ideal preparation for the seismic showdown with City, who also face Liverpool in the FA Cup semi-finals at Wembley on April 16.
The two teams are seperated by just a point with leaders City hoping they can restore some breathing space with a victory.
Liverpool boss Jurgen Klopp and Manchester City manager Pep Guardiola were outspoken critics of the previous refusal to adopt the change.
The 63-year-old German is due to start a two-year consultancy role after the season finishes.
Klopp believes his current Liverpool group is the best he has coached in his glittering career.
Despite his team winning their last four games, Liverpool manager Juergen Klopp says Manchester City will not be peering anxiously in their rear view mirror.
Klopp has a full squad at his disposal with Henderson back from injury, and forwards Salah and Sadio Mane making their first starts since returning from the AFCON in Liverpool's win over Burnley.
Liverpool will go in with increased confidence after they reached the League Cup final with a 2-0 win at Arsenal on Thursday.
The Merseyside club temporarily closed their training ground on Wednesday due to a rapidly growing number of suspected COVID-19 infections at the club.
The Egyptian winger is ready to support his team in their trip on Sunday to Stamford Bridge.