However, work continues behind the scenes as the Merseyside giants look to make shrewd additions over pushing through big-money transfers.
Nevertheless, aware that their nearest rivals are going all out to strengthen their respective squads, that approach could change if any bids are made for their own players over the coming weeks.
Wednesday morning's Liverpool transfer talk news roundup:
Dejan Lovren's switch to Zenit St Petersburg has put Klopp in a position where he will require a fourth centre-back before September 12.
At a time when Liverpool are searching for value for money, beIN Sports claims that Aissa Mandi is very much on their radar.
Despite Real Betis enduring a frustrating La Liga season, Mandi made a positive impression during his 30 appearances in all competitions.
While the Spanish outfit would prefer to keep the Algeria international, just a year remains on his contract.
Liverpool have allegedly made a bid in the region of £9m.
While the financial implications of the coronavirus pandemic are being felt around the world, it appears that Paris Saint-Germain may still be prepared to spend excessive amounts of money.
According to Kick442, the French treble winners are prepared to make a £50m approach for Cameroon international Joel Matip.
Despite the 28-year-old being regarded as a key figure by Klopp, the Premier League champions are unlikely to turn down a £50m bid should it arrive as suggested.
Injury and the form of Joe Gomez restricted Matip to just 10 appearances in England's top flight and the Champions League this season.
While Andrew Robertson has cemented himself as Liverpool's first-choice left-back, Klopp remains keen on finding backup to the Scotland international.
The 22-year-old has just spent his first campaign in the Premier League, contributing one goal from 25 starts and three substitute appearances.
Although the Canaries have previously stressed that they do not need to sell any of their key men after relegation, it remains to be seen how they will react to receiving a £10m bid for the prospect.
A further report has hinted that youngster Yasser Larouci could be used in part-exchange.
More transfer news from Liverpool:
Liverpool transfer news: Thiago likely to join, competition for Carlos, Origi wanted by Villa
Sports Mole rounds up the latest transfer talk for Liverpool on Monday, August 3. Read more.
Liverpool 'very likely' to sign Bayern Munich midfielder Thiago Alcantara
Liverpool are reportedly 'very likely' to get a deal over the line for Bayern Munich midfielder Thiago Alcantara in the coming weeks. Read more.