The 25-year-old attracted interest from several clubs, including Manchester United, after his stellar performances at the World Cup for England.
However, Maguire committed his future to Leicester last week when he signed an improved five-year contract.
Manager Claude Puel believes this is a statement of intent by the club.
"Of course not always players who start the season finish the season at a club, but it is not in my mind that he will leave the club after just one year," said the Frenchman.
"It is important to keep a player of his quality and importance to the club and the most important thing for me is to continue with him and work together.
"It is a good feeling for all the club and for our fans. This signing shows the ambition of the club, the owners and for the fans it is very good feeling for the future.
"For the squad also - we kept our best player and it is a good thing to continue to improve."
When asked if Maguire's contract was lucrative enough to ward off clubs that would still be interested, Puel said: "I don't know the details of his contract. But him signing is good for the club."
9 September 2018