"It's pretty likely [he will play against Napoli]", Klopp told Liverpool's official website.
"I'm very pleased [to work with Alisson], but first of all it's very important he can start now because the season starts in one and a half weeks".
Alisson will be tasked with improving the Liverpool FC defence following the inconsistent performances of Loris Karius and Simon Mignolet.
'Step by step, they are all coming back and it's the best news'.
Nearly all of Liverpool's senior players are available for selection after the 2018 FIFA World Cup, with skipper Jordan Henderson the only one yet to return after his exertions for England in Russian Federation.
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Alisson had been the number one goalkeeper in both standing and number for Roma last season but now at Liverpool Loris Karius holds the no. 1 jersey.
The report also claimed that following conversations with the club, Alisson opted not to take the No.1 jersey "out of respect for Karius".
Following Saturday's tie against Napoli, Liverpool round off their pre-season with a Tuesday night fixture against Torino.
Last season, while each of the three main strikers scored more than 20 goals each - and Salah was the Premier League's leading marksmen - no other Liverpool player other than the departed Philippe Coutinho, notched more than six across competitions.
He will be looking to step up his preparations to be fit in time for the opening Premier League game of the season against West Ham United.
"He obviously has a real presence, he's smart, he's very nice and it's good to have him around", Klopp continued.