The paradox here indeed is that there are at least four clubs that have put winning the Champions League above anything else this season - Barcelona, Juventus, Paris Saint Germaine and Manchester City - each of whom have won back to back league titles - the trophy that Liverpool crave more than any other.
Despite their tiring Super Cup win over Chelsea in midweek, Jurgen Klopp's men would be keen to continue their strong start to the season.
Liverpool would have won the Premier League last season if VAR was in use.
Due to an injury to Alisson, Liverpool started former West Ham goalkeeper Adrian against Southampton at the weekend.
Adrian saved what proved to be the decisive penalty in the Super Cup but he made an embarrassing error against Southampton when he kicked a clearance straight at Danny Ings and saw the ball rebound into the net.
Earlier, Arsenal also kept up a 100 per cent record but made hard work of getting the better of a determined Burnley side at the Emirates, with Pierre-Emerick Aubameyang's seventh goal in four appearances against Burnley earning Arsenal a 2-1 win.
It's often argued that Guardiola's stewardship of City will be measured by the club winning its first Champions League title, though the Catalan recently said he'd choose winning the English Premier League over European success.
"I said before the game that most of the headlines were written, everyone was prepared for what looked like a banana skin, because Southampton had lost their first game and we had problems here past year", added the Liverpool manaer.
Alexandre Lacazette's first goal of the season had given Arsenal the lead before Ashley Barnes equalised for Burnley just before half-time.
Bernard's 10th-minute goal gave Everton a 1-0 win over Watford, who suffered a second consecutive defeat, at Goodison Park.
Harry Wilson later struck via a deflection for his maiden Cherries strike, with Douglas Luiz replying for Dean Smith's men.
But Tottenham hit back inside three minutes as Erik Lamela beat slow-to-react City keeper Ederson from the edge of the area.
Pukki gave Norwich the lead with a superb volley in the 32nd minute and the Finland striker grabbed his third goal in two games with a clinical finish in the 63rd minute.