The 37-year-old striker, who joined the Foxes in 2012, scored 20 goals in 37 appearances during their 2023/24 Championship-winning campaign.
Vardy, who has won the Premier League and FA Cup during his time at the King Power Stadium, is third on the club's all-time goalscoring list, with 190 goals in 464 games.
"To get the numbers that I did (last season), I'm delighted with it, but there's still more to come," said the former England international.
"I look after myself. I've always said that age is just a number. My legs feel fine so that's why I carry on until my legs say, 'That's it, game over'. There will be a day when that comes, but that's not right now."
Leicester are searching for a new manager after Enzo Maresca, who guided the club to the Championship title in his first season in charge, left to join Chelsea earlier this week.
