The England international had been linked with a move to Old Trafford with reports suggesting Jose Mourinho’s men had made an inquiry about the player.
United are in the market for an extra forward to ease the goalscoring burden that has fallen on the shoulders of Romelu Lukaku and have been linked with both Vardy and Javier Hernandez.
The report states that Vardy remains committed to Leicester and sees his immediate future at the King Power Stadium.
United may also be cautious about spending huge sums of money on an ageing striker in January.
The Red Devils have been linked with summer moves for both Paulo Dybala and Atletico Madrid striker Antoine Griezmann.