The Brazilian remains a Liverpool player after the Reds knocked back several bids over the summer, but such a stance did not go down well with Coutinho, who had his heart set on a move to the Nou Camp.
Coutinho has been integrated back into the first-team squad, but reports are suggesting all is not well behind the scenes between the player and his manager, which could lead to him moving on.
Reports in Spain claim that Barca are well aware of the unrest and hope to use it to their advantage and lure him away when the transfer window re-opens in the new year.
A bid of £106million looks to be on the cards and Liverpool could decide to cash in if the rift with Klopp cannot be mended before then.
Barca are not the only interested party though and will face strong competition from rivals Real Madrid and Paris Saint-Germain for his services.