The veteran forward has spearheaded the club to promotion to the Premier League.
Vardy and the Foxes went down at the end of last season, but have come straight back up.
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Over the weekend, the manager said: It's all season that you ask about Jamie! Jamie Vardy is Leicester. Jamie Vardy, I didn't discover him. Jamie Vardy will always score goals in his life.
He's going to score goals until he's 45 because it's in his blood to score goals. We are very lucky that he's our player. He's scored many goals.
Not yet (we didn't discuss the contract) because the target was to finish in the right way. We have a game on Saturday and then we'll sit, but my feeling is that he's going to stay. This is just my feeling, but if I were to decide"