The highly-rated full-back is among those to have generated transfer talk heading towards the summer window.
Moves to England and Spain have been mooted for the 26-year-old, who only moved to the Netherlands in January 2018.
However, he will not not be forming a part of any mass exodus from the Champions League semi-finalists.
“I want to tell you that I will stay for one more season,” Tagliafico said in a video message on Ajax’s official Twitter account.
“Hopefully it will be a great year. Like it is this year.”
Tagliafico is tied to a contract through to the summer of 2022.
It remains to be seen whether that agreement will be honoured, but he is now committed to the Eredivisie giants for another 12 months.
A statement released by Ajax read: “Nico Tagliafico has signed a new agreement, which includes a commitment that he will play for Ajax next season.
“The contract of the Argentinian international runs until
Tagliafico has recorded six goals and eight assists for Ajax this season, with his efforts helping to keep the club in the hunt for a domestic and European double.
His decision to stick around for 2019-20 has been welcomed by leading figures in Amsterdam, with
“It shows that we are ambitious, now and also for the future.”
Andre Onana, Klaas-Jan Huntelaar and Noussair Mazraoui have already penned fresh terms with Ajax, with the club eager to retain as much of their exciting core as possible.