That’s according to Spanish paper Sport who say a deal for Borussia Dortmund’s Ousmane Dembele is also on the brink of being done.
Barcelona’s 3-1 loss to Real Madrid in the first leg of the Spanish Super Cup has accelerated their need to bring in quality.
They are looking to replace Neymar who joined Paris St-Germain for £198m earlier this summer.
Sport are adamant that the pair will join, saying: “Both will be Barca players”.
Coutinho has handed in a transfer request at Anfield after seeing two bids from the Catalans rejected.
Ernesto Valverde upped his initial £72m proposal to one worth a total of £91m.
However, Sport say a deal worth an initial £91m plus add-ons should be enough to convince Liverpool to sell their unhappy star.
Barcelona are ready to invest every penny of the £198m received from the Neymar deal back into their playing squad.
Deals for Coutinho and Dembele are close and the former will be the first to move.
The report claims the Brazilian could be a Barca player by the end of this week.
Paulinho is also set to join from Guangzhou Evergrande after a £34.4m fee was agreed with the Chinese club.