But the 24-year-old Brazil international has played that rumour down and talked up life under manager Jurgen Klopp.
“I am grateful for everything Liverpool has done for me,” he said.
“Am I happy there working under Klopp? It’s clear, he’s great.”
Here, a number of fans shared their happiness with Coutinho’s comments, but are also hoping the club add to the squad when the transfer window opens.