Paris Saint-Germain retain an interest in Marouane Fellaini but Liverpool will not pursue a summer move for the 30-year-old.
The Manchester United midfielder is out of contract in the summer and has failed to agree new terms at Old Trafford.
Roma, Monaco, Galatasaray and Besiktas have all been sounded out about a deal for the Belgium international while PSG have said they will weigh up an offer with Fellaini's camp looking to secure a three year contract.
Liverpool have been linked in French media reports but the Anfield club are chasing other midfield targets.