The 19-year-old winger enjoyed something of a breakout season in 2017-18, scoring 10 goals and setting up another five in the league.
His dribbling ability and general play in the final third have seen him earn rave reviews, with several of Europe's biggest clubs said to have shown interest.
"I personally said to him maybe it's better to stay one more year at Ajax, to make some kilometres, to be important for the team," Kluivert senior is quoted as saying by ESPN.
"He's 19 years old. He's still young, but he makes his own decisions, and as a dad, I have to stand behind all the decisions that he makes. It looks like he's going to leave Ajax. I think it's 90 per cent sure that he's going away.
"If he's got the feeling to leave then he's got to do that, but he needs to know what things are coming on his way.
"It will be difficult because if you're 19 and you're going to another country, it's not easy. You have to pick wisely what club and also talk really deeply about how his progress will be."