Sky Sports News has been told Coutinho will not rock the boat at Anfield and he would only leave Liverpool for Barcelona.
Coutinho signed a new five-year contract at Liverpool in January and the club remain adamant he is not for sale.
Sky Sports News understands Barcelona have not contacted Liverpool since their initial £72m offer was firmly and immediately rejected 18 days ago.
Barcelona are "looking for alternatives" after Neymar's world-record departure to Paris Saint-Germain, according to president Josep Maria Bartomeu, who revealed plans for the Brazilian forward's £200m transfer fee.
"We thought there was a chance that Neymar could go and for that reason we raised his buy-out clause," he said at a Barcelona fan group meeting on Monday, according to Marca.
"Now we are looking for alternatives and whatever happened here it is in the end good for Barca because if he stayed then we have a great player and if he goes then we bring in a lot of money.
"The 222 million euros we will spend sensibly, strictly and wisely. It will be used to improve the club and with this it means that we are in a great position to sign players.
"This year there will not be a trident but we can now talk about a team. We will bring in players, the first has been Semedo, but there will be more."