There have been suggestions that Alisson could be sidelined for up to six weeks, but Klopp is hopeful that the player will be a quick healer given that he has barely suffered with injuries so far in his career.
Indeed, the £65million signing from Roma 12 months ago played in every Premier League game for the Reds last season, picking up the Golden Glove having kept an impressive 21 clean sheets as the side lost just one of their 38 games.
Alisson then helped the Merseysiders win the Champions League final, when they defeated Tottenham 2-0 in Madrid on June 1.
After Klopp shored up the Reds' defence with the £75m signing of Virgil van Dijk in January 2018, the arrival of Alisson looked like the final piece of the jigsaw to turn the Anfield squad into winners.
And so it proved to an extent as he was a colossus between the sticks and played a huge part in Liverpool's European exploits and in helping them pick up 97 points in the league, although they missed out on the Premier League title to Manchester City by a point.
Alisson's ability with the ball at his feet and overall presence also appeared to help the backline relax more than the previous season when Loris Karius and Simon Mignolet both seemed to have an error in them every game, which can't have helped their focus.
Klopp recently brought in Spanish shot-stopper Adrian from West Ham and he made his debut against Norwich and conceded a second half goal when he was beaten by a Teemu Pukki strike.
He is in pole position to keep his place for Wednesday's Super Cup clash with Premier League rivals and Europa League winners Chelsea in Istanbul, while veteran Andy Lonergan has arrived on a short-term basis as back-up. Adrian is a solid enough Premier League goalkeeper but he is not in the same bracket as Alisson and Klopp will know that.
If his number one is absent for six weeks, he could miss up to four league games, including the clash with Arsenal on August 24, with Chelsea at Stamford Bridge a possible comeback date on September 22.