The former Fleetwood Town striker is experiencing a dream start to the current campaign, scoring ten goals in ten Premier League starts and earning international recognition with England.
According to ESPN, his form has not gone unnoticed as Liverpool and Tottenham Hotspur have both been accredited with an interest in signing him in the upcoming January transfer window.
Ranieri, however, has calmed fears of a potential sale by completely dismissing the idea.
"No, he [Jamie Vardy] will stay with us. Nobody goes in January. We don't sell him, he's very happy here and it's too early to speak about it,” Ranieri assured reporters.
"I hope he can continue to grow again. If he can continue this way it would be fantastic. We are waiting for the bigger clubs, but this is only speculation."
Vardy would certainly be a good addition for both Liverpool and Tottenham at the right price, with the latter in real need of providing an alternative to striker Harry Kane in case he picks up a lengthy injury.
However, Spurs have certain preferences when it comes to new additions with age being a key factor. Vardy, despite his incredible form, is 29 in January and perhaps too old for Tottenham to consider.
Leicester will be hoping he can keep up his current gluts of goals, with the 10 he has recorded so far being more than five Premier League club’s overall total including Liverpool.
The Reds have plenty of quality upfront, though a number of fitness and injury problems have so far prevented them from putting out their most prized attacking assets.