He told Voetbal Inside (h/t Goal's Robin Bairner): "The chances of me leaving are slim. I haven't spoken to Jose Mourinho myself. I know as much as you do. Rumours are always there, but Manchester United has never come up, and I don't think it's a logical step. A few more years at Ajax? Who knows, we'll see."
According to Bairner, the 18-year-old was rumoured to be set for a £10 million transfer to Old Trafford at the end of the season.
The youngster's comments tally with United boss Mourinho's over the weekend, when he said the club would not be seeking attacking reinforcements in the summer following Alexis Sanchez's arrival in January.
Per the Mirror's David McDonnell, Mourinho pointed to the strength in depth the Red Devils have in the final third, with Sanchez joining Romelu Lukaku, Anthony Martial and Marcus Rashford among their forward options alongside attacking midfielders Juan Mata and Jesse Lingard.
Mourinho said: "That's why I say that it's bad for [the press] because you like to have things to write about, especially in the summer. But I don't want attacking players, so don't speak about attacking players who are coming here because nobody is coming here."
Kluivert was an unused substitute in the UEFA Europa League final last year as Ajax lost to United, and Mourinho set tongues wagging when he was seen speaking to the winger after the match.
The teenager has bagged six goals and three assists in all competitions this season, including a stunning hat-trick in November, per Soccer AM:
The winger—who is comfortable on either flank—is superb with the ball at his feet, aided by an explosive burst of pace and his eye for goal.
Grup 14's Rafael Hernandez believes Kluivert will soon be on the radar of Europe's elite, if he isn't already:
He could make for an exciting addition to United's lineup, but he would equally be an unnecessary acquisition, which could hinder his development given he would likely be handed far less game time than he would receive at Ajax.
The club may well keep tabs on him with a view to making a move a year or two down the line, though, and by then he would have had the chance to hone his precocious talent further still.