Mane, 26, has been linked with a shock switch to the European champions 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 told Salzburger Nachrichten.
He added: "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 2017-18.
He is the latest member of Liverpool's 'Fab Three' attacking unit to have become a rumoured target for Madrid.
On the back of a 44-goal debut campaign at Anfield, Mohamed Salah has been heavily linked with a big-money move to the Santiago Bernabeu.
The Egypt international has, however, also been quick to talk up his happiness on Merseyside in an effort to curb the rumours.