Sky Sports News understands Liverpool have so far rejected two bids from Barcelona for the Brazil global, with the latest offer worth up to £90.4m.
And the Premier League club has also denied reports that the 25-year-old has handed in a transfer request.
The Brazil playmaker has been targeted by Barcelona, whose bid of around £90million was rebuffed by Liverpool on Wednesday.
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In a statement on Friday, the club's owners Fenway Sports Group said its "definitive stance" was that "no offers will be considered".
After having two previous offers rejected, the Spanish club are believed to have increased their bid for the Liverpool forward to £90 million ($117 million, 99 million euros). "He's a doubt for Tuesday unfortunately", he said.
Jurgen Klopp spoke on the importance of Philippe Coutinho while discussing Liverpool's plans for this transfer window.
The main reason Coutinho wants to leave Anfield is that, as a Brazilian footballer, he finds it impossible to say no when Barcelona come calling.
"I turned 50 in the summer and I forget things", he said.
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I know he was at Juventus but I don't think he was ever completely their No. 1 striker, slightly in and out at different times. It is the best players from all over the world playing for some of the top clubs in the world.
Only the top three scored more Premier League goals than Liverpool last season, and that attack has been strengthened by the club record £37 million (US$48 million) signing of Mohamed Salah, one of Serie A's outstanding performers with Roma last season.
In the press conference, Klopp was asked about trying to keep Coutinho happy. The Hornets managed to avoid relegation from the Premier League with games to spare, but that resulted in a wasteful run of five straight defeats.
Brighton and Huddersfield are going to struggle, Burnley are weaker than last season and will not be able to rely on their home form and if Swansea sell their best player, then you do wonder if they have enough.
He added: "I don't think he [Klopp] has made enough signings to challenge in the big two competitions next season".
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