The 28-year-old has been a constant presence in the Chelsea FC defence this season as he helped the Blues to seal a third-placed finish in the Premier League table.
Alonso scored two goals and made four assists in 31 Premier League games and also netted twice in the Europa League to help them reach next week’s final.
According to the Evening Standard, Alonso is the subject of interest from Real Madrid ahead of the summer transfer window.
And the player himself has refused to rule out the possibility of a move away from Stamford Bridge this summer, despite insisting that he is happy at the west London club.
Speaking in an interview with the Evening Standard, Alonso said: “I am very happy here but we will see what happens this summer.
“There is always talk (like this). Is it a compliment? Yes. It means I’m doing well if other teams are trying to get in touch.
“But first of all I’m focussing on the final. I am very happy to have four more years here and hopefully I will stay many more years here.”
Chelsea FC are currently preparing for their Europa League final showdown against Arsenal in Baku on Wednesday night.
The Blues are aiming to end Maurizio Sarri’s first campaign in charge at Stamford Bridge with a trophy after they were beaten by Manchester City in the League Cup final back in February.
Alonso has won one Premier League title and one FA Cup since his move to Chelsea FC from Fiorentina in August 2016.
MORE: Man United latest news
MORE: Arsenal latest news
MORE: Chelsea latest news
MORE: Liverpool latest news