Stevens worked with Maddison at the Sky Blues before he moved onto Norwich City.
He told the Leicester Mercury: “Without any doubt he will cope incredibly well with it.
“He is a wonderful kid. He loves football more than anything else.
“Okay, he is in the Premier League and he will earn a Premier League salary and everything that goes with it, but he is driven by the football, the actual game. He will cope absolutely fine.
“When he was 16 and played in the 18s he coped. When he was 17 and played in the first team he coped. When he went on loan to Aberdeen he coped and he did so again when he went to Norwich.
“Every time he is pushed he has stepped up and run with it. You are going to get a boy who will become a fans' favourite. He adores the game.
“In his time during the later years of his development at Coventry he has played as a number 10 but also a little deeper as a four and an eight.
“If you look at his performances for Norwich last season he created chance after chance, and scored goal after goal, got man of the match awards. You get those because you catch the eye and excite people. That is what he brings to the City team.
“Whatever number you call it, he is an attacking footballer who is going to drive the game forward. He creates and scores goals. He is exciting. I think the fans and the players will take to him quickly. You will love him."