Reports in the English press had suggested Manchester United would renew their interest in Maguire this summer.
However, Leicester want to keep him.
According to the Daily Star, vice-chairman Aiyawatt Srivaddhanaprabha's goal is to ensure that Leicester is not a selling club.
They will do everything to hold onto the likes of Maguire in the summer, along with building a better team for new boss Brendan Rodgers.
Maguire was a key target for United last summer, after his impressive World Cup displays.