Mundo Deportivo claims that Coutinho's teammates have tried to convince the Brazilian ace to stay until at least the summer but they believe he has no interest in remaining with the Merseysiders.
The Spanish publication adds that there is also a growing optimism at Barcelona ahead of completing his signing once the transfer window reopens in a deal worth around €145m (£128m, $171m).
Coutinho, 25, was poised to move to the Nou Camp during the summer transfer window after handing in a transfer request to try to force his exit from Anfield.
Barcelona finally had to abandon the pursuit on deadline day with club president Josep Maria Bartomeu claiming Liverpool asked them to pay €200m.
But club CEO Oscar Grau reopened the speculations in October after claiming that the La Liga giants are financially ready to make a new attempt to sign the Liverpool ace in January if manager Ernesto Valverde considers his addition a priority.
"We are prepared to sign Coutinho or other players but the proposal has to come from the technical staff. We will do our best to meet their demands," Grau said during a press conference.
Mundo Deportivo and other Spanish publication have since claimed that Liverpool and Coutinho reached an agreement in the summer in which the Merseysiders vowed that they will negotiate his transfer to Barcelona in January if the player didn't refuse to play the Champions League for Jurgen Klopp's side during the first part of the season.
Now the Spanish publications claims that Barcelona have "good feelings" they could complete the deal with Liverpool now asking around €145m to part ways with his services.
The report adds that the Merseysiders are already preparing for life without the Brazil ace, with the Premier League side considering bringing forward the arrival of Naby Keita and also planning to sign Thomas Lemar from Monaco.
Barcelona are 'optimistic' of signing the player while in the Liverpool dressing room some players and even Jurgen Klopp believe Coutinho's departure is inevitable.
The Spanish publication says that some of his closest colleagues have accepted they won't be sharing the Liverpool dressing room with the Barcelona target during the second part of the current campaign.