The Reds playmaker was pursued in the summer but Coutinho was forced to stay at Anfield.
Liverpool rejected as much as £118m for the 25-year-old.
Although Barcelona are expected to revive their interest in the New Year for their top target.
And according to Spanish outlet Don Balon, Coutinho is desperate to go.
He endured a tough afternoon against Tottenham yesterday as Liverpool lost 4-1 at Wembley to put a quick end to any title hopes.
With the Reds struggling in ninth, Coutinho wants to force through a transfer in January, even if it means missing out on playing in the Champions League in the second half of the season.
Don Balon add Coutinho has communicated his desire too on more than one occasion to Paulinho.
Barcelona's summer signing is one of Coutinho's close friends in the Brazil squad.
And the Liverpool man has made it clear he wants to join Paulinho at the Nou Camp at the next available opportunity.
An agreement is said to be in place between Coutinho and Liverpool for him to go next summer.
But the Reds' poor form and low chance of trophy success this term means he is willing to quit the Champions League club mid-season.
