The Reds have been linked with re-signing the Brazilian playmaker, who has spent the season on loan at Bayern Munich from Barcelona.
But despite enduring a frustrating 18 months at Barcelona before his switch to Germany, Coutinho claims he has no desire to return to Anfield.
He told Sports Illustrated: “I don’t look back. I took another path, and now I am on another journey, much like everyone else.
“I’m focused entirely – just like them – on reaching my dreams. I’m happy with what I did in the past, and now I can only look forward.”
Barca paid Liverpool £145million to sign Coutinho in January 2018, but he failed to settle at the Nou Camp.
And he watched his old side – who are on course to win their first Premier League title, dramatically knock Barcelona out on their way to Champions League glory last season.
But the playmaker insists that he has nothing but positive feelings towards his old club.
“Liverpool is flying, and it doesn’t surprise me,” he added.
“We’ve seen it already last year when they won the Champions League, but I’m also not surprised because of their fantastic squad and manager.
“I am so happy for them, because I have so many friends there, former team-mates –so I’m just so happy for them. But that’s all.”