It added: "Philippe will remain a member of Liverpool Football Club when the summer window closes".
The Catalan giants have already seen two bids rejected by the Merseyside club for Coutinho, the most recent being worth £90 million.
Coutinho's demand came on a dramatic day for Liverpool, which started with Fenway Sports Group, the club's American owners, issuing a statement to say they would not sanction the 25-year-old's sale at any price and considered the matter closed.
However, a statement issued via the club's official website has made it clear they fully expect Coutinho to be a Liverpool player when the transfer window closes at 2300BST on August 31.
Also on Friday, Sky Sports News received a statement said to be from a member of Coutinho's family.
Coutinho, who scored 14 goals in all competitions last season, signed a new five-year deal in January that did not include a release clause.
Souness believes the timing of the Coutinho saga has left Klopp in a sticky situation, with Liverpool set to open their Premier League season away at Watford on Saturday, with the crucial Champions League play-off tie against Hoffenheim to follow.
Equally there is anger on the club's part that Coutinho submitted a transfer request having been told in face-to-face meetings with the owners and Klopp that such a move would not be entertained.
And, sometimes, the less said the better - unfortunately, he's not our only problem right now.
The German said: "I can't keep players happy". It's like I said: the club is bigger than anybody.