Mane, 26, has been linked with a shock switch to the European champion after another fine campaign in England.
While the Senegal international said he was happy with life at Liverpool, he was unwilling to rule out a move in the future.
"I am very happy in Liverpool and my contract will last for three more years," Mane said. "As I said, I'm happy in Liverpool. But you never know what will happen in the future."
Mane scored 10 goals and provided seven assists in 29 games in the Premier League in 2017-2018.