The 19-year-old made the Liverpool right-back spot his own at the end of last season and earned a place in Gareth Southgate's England squad for the World Cup.
Liverpool produced a superb display to defeat Napoli 5-0 in Dublin in their penultimate pre-season friendly on Saturday evening.
"We should not waste time".
City are now favourites after reaching 100 points to win the title last season but Liverpool's transfer dealings have not gone unnoticed, with many tipping Klopp's side to make a major push for their first top flight championship win since 1990.
"I think goalkeepers are important to any team".
"Then it'll be almost a week, or six days in training, since he (started) and yes, he will play".
Alisson only had one serious save to make when he turned away Lorenzo Insigne's first-half attempt.
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"It's good to have him here, he looks in good shape", Klopp said as Firmino joined training in France. There was just no way that Liverpool could have started the Premier League season at home to West Ham next week with Karius in goal.
"It's only positive, even the performances in training - which is not too important in the beginning - are already exceptional, so all good".
And Alisson insists he will be 100 per cent ready by the time the Reds kick off their new campaign.
"We will see who can start against Napoli".
Keita, who earns £120,000 per week according to Total Sportek, could be a different animal for Klopp's boys this season and it will be fascinating to see how he does in the Premier League and Champions League.
Xherdan Shaqiri, another new signing who has hit the ground running, played the ball across goal for Grujic to tap in during the training drill, but Alisson was alive to the danger and sprung across his goal to deflect the ball over.
"I hope I can help and bring something extra to the team".