Virgil van Dijk and Joe Gomez are their only senior centre backs fit and available ahead of the new season.
Earlier on Monday, Klopp had admitted concerns over his defensive options as Matip (hip) and Klavan (hamstring) both remain doubtful for the matches against Torino and West Ham.
"We will see what happens, he said".
"I'm fine with what we've done, fine that we did it, but it's nothing to be proud of", he told the ECHO.More news: Actor Steven Seagal appointed Russian ministry's 'special representative'
"The real positive thing is that there's still a lot of space for improvement and development - that's what we are going for. I don't know how we will do it". The France global was heavily tipped to join Liverpool prior to the World Cup but the deal was scuppered after the Reds tried to re-negotiate his £53m asking price citing his injury record.
Regardless of whether further fresh faces arrive, Klopp believes that he is already working with his strongest squad since taking the Liverpool reins back in October 2015.
Alisson played the full 90 minutes of Liverpool's penultimate friendly of the preseason, recording a clean sheet and impressing the Aviva Stadium with a good range of distribution throughout.
Liverpool have continued to monitor Fekir's situation and the Mirror claim they remain interested in taking the playmaker to Anfield as Jurgen Klopp looks to finally replace Philippe Coutinho following his January move to Barcelona.
"He was for a long time in his youth an outfield player [and] he must have been a very good outfield player as well because he's really good in that". I still remember the Burnley game [at Turf Moor in August 2016] when we lost 2-0 with 80 per cent possession.