Vardy was linked with a transfer to Stamford Bridge in the summer transfer window but the 31-year-old striker remained at the King Power Stadium for the 2017/18 campaign.
Reports suggest Chelsea are eyeing a move for Vardy once again as Conte scours the market for attacking reinforcements, with Michy Batshuayi seemingly out of chances as Alvaro Morata’s back-up.
Asked whether the Blues had discussed Vardy, Conte responded: ‘No, honestly we didn’t speak about him, but I repeat we are talking about a really good player.
‘For sure Vardy is a really good player and I don’t like to speak about players of other teams, but in this case we are not talking about transfer market.’
‘I appreciate a lot this player because he is a really good player, Vardy. He played for the national team and is scoring with regularity in this league and is a good player, but this different — I am talking about him because you ask me and not the transfer market.’
Conte admitted Kenedy may be sent out on loan amid rumours that Newcastle are keen on the Brazilian.
‘In this case we have two solutions,’ Conte said.
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‘If Kenedy goes on loan, we go to take another player or we take a player from the academy.
‘Then the club has to decide which solution the club prefer.’