Maddison has had a promising beginning to his time in North London since his transfer from Leicester City over the summer.
However, during a fans’ forum on Tuesday evening, Spurs chairman Levy humorously teased him about his car selection.
The Tottenham chief said: “James needs to learn that he can’t come to the training ground in a red car. I’ve told him. He’ll learn.”
England international Maddison is already looking like one of the bargain buys of the summer at £40m ($50m). The 26-year-old has recorded two goals and two assists in his first five Premier League appearances for Ange Postecoglou’s side, helping them rise to second in the table.
Elsewhere, Levy was also questioned on a number of other topics at the club and labelled the appointments of Antonio Conte and Jose Mourinho as “mistakes” while also revealing that there was a buy-back clause inserted in Harry Kane’s contract when he joined Bayern Munich in the summer.
Postecoglou will face his biggest test yet as Tottenham boss when his team travels to the Emirates Stadium on Sunday to face Arsenal in the first north London derby of the season.