Brendan Rodgers insisted Leicester City would not be selling Wesley Fofana to Chelsea and derided Newcastle United's reported offer for James Maddison.
Leicester are the only Premier League club yet to make a new signing with less than a week to go before the start of the season.
With finances said to be tight at the King Power Stadium, a number of key players appear to be of interest to rival clubs.
Chelsea are reportedly considering a move for centre-back Fofana, having lost Antonio Rudiger to Real Madrid and Andreas Christensen to Barcelona while missing out on top targets Matthijs de Ligt to Bayern Munich and Jules Kounde also to Barca.
Reports suggest Leicester would only countenance the sale of one of Fofana or Maddison, and Rodgers ruled out the possibility of his top defender departing.
"Naturally, he's a top talent," Rodgers said following Sunday's 1-0 friendly win over Sevilla. "He's not for sale.
"He still has lots of improvements to make. He's very happy here, he really enjoys being here.
"Naturally, he will attract the interest of other clubs. Our job, in not signing anyone so far, is to at least keep the players we have. I know that's the intention of the club."
Rodgers was slightly less firm on Maddison's future, although he suggested the £40million fee Newcastle were said to be willing to pay fell well short of the midfielder's value.
Newcastle have also been linked to Maddison's team-mates Youri Tielemans and Harvey Barnes, while they last season targeted Rodgers himself before appointing Eddie Howe.
"He's still very much a player here," Rodgers said of Maddison. "Naturally, the players are sought after because they are talents.
"You see his performance, you see how happy he is, and he's not a player we want to sell.
"It's not for me to put valuations on the players, it's not my side, but [£40m] might just cover three-quarters of his left leg, that price. He's a top player."
Another player who could leave Leicester is captain Kasper Schmeichel, who has held talks with Nice.
Lucien Favre, coach of the Ligue 1 club, said over the weekend a potential move was "a real lead" but "not yet done".
Rodgers added: "There's been a little bit of interest over the summer.
"Kasper has earned the right to have a think about the next chapter of his career and where that's going to be. When there's something concrete, we'll sit and discuss it and take it from there."
Coventry City 2-3 Hull City: Tigers win five-goal thriller to keep play-off hopes alive
Hull City kept their hopes of gatecrashing the Championship play-offs alive with a thrilling 3-2 win over beaten FA Cup semi-finalists Coventry City on Wednesday.
Noah Ohio scored the winner with his first touch after coming on as a second-half substitute as Hull moved within three points of sixth-placed Norwich City with two games to play.
Coventry, meanwhile, saw their own hopes of returning to Wembley Stadium for a second successive play-off final all but ended, as they sit six points further back with three matches remaining.
Three days on from their remarkable comeback against Manchester United, the Sky Blues twice fought back to level things at Coventry Building Society Arena. Jaden Philogene's shot squirmed under goalkeeper Bradley Collins to put Hull ahead 31 minutes in, but Kasey Palmer levelled within five minutes with a stunning free-kick.
Hull went back ahead in controversial circumstances on the stroke of half-time, Liverpool loanee Fabio Carvalho converting from the penalty spot despite replays showing Joel Latibeaudiere's foul on Liam Delap took place outside the area.
Mark Robins' men again dragged themselves back into the game as Bobby Thomas headed Jay Dasilva's cross in just before the hour mark, but it was Liam Rosenior's visitors who found a winner.
Thomas went from hero to villain as his poor back pass sold Collins short, and Ohio got a toe to the ball to score the winner, keeping Hull's hopes of Premier League football intact.
Van Dijk: Liverpool have 'no chance' in title race after derby defeat
Virgil van Dijk conceded Liverpool might be out of the Premier League title race after they suffered a surprise 2-0 defeat to Everton in Wednesday's Merseyside derby.
Jarrad Branthwaite and Dominic Calvert-Lewin scored in either half to give the Toffees their first win over Liverpool at Goodison Park since 2010.
Liverpool struggled to find a way through the Toffees' defence despite dominating for long periods, and the Reds' captain says they will not outlast Arsenal and Manchester City without major improvements.
Speaking to Sky Sports, Van Dijk said: "If we play like today, then we have no chance to consider ourselves in the title race.
"We have to just focus on the next game and that will be a tough one anyway, so we will see.
"We're very disappointed, in so many ways. I think everyone has to look at their own performances. Did they really give everything, and do they really want to win the league?
"We're still fighting and there are still games after tonight, but if we play like we did overall in the game today – not winning challenges and giving the referee a chance to give free-kicks like he did many times, then you have no chance to win the title."
Howe: Newcastle performance in Palace defeat 'way off' Spurs win
Eddie Howe admitted Newcastle United's performance in the 2-0 loss at Crystal Palace on Wednesday was "way off" the one that saw them thump Tottenham in their previous game.
Howe's men hammered Spurs 4-0 in their last match, but they never got close to matching the attacking verve from that outing and a Jean-Philippe Mateta double condemned the Magpies to defeat at Selhurst Park.
Newcastle didn't even manage a shot on target until the 87th minute, accumulating just 0.42 xG (expected goals) as the likes of Alexander Isak and Anthony Gordon struggled to make an impact.
Only against Manchester City in August (one) have Newcastle recorded fewer shots on target in a Premier League game this season than their two against Palace, and Howe was critical of his team's display in the loss, one that all but ends their hopes of finishing in the top four.
"[It is a] bad day for us," Howe told Newcastle's club media.
"I thought we were disappointing today, especially in the first 60 minutes. We were way off our levels against Tottenham and our best levels.
"I thought technically we didn't deliver a good performance, and out of possession I don't think it was a particularly good performance either."
Newcastle were unlocked twice for Mateta to score by a Palace side who themselves only generated 0.88 xG.
Howe was left frustrated by the manner in which his side conceded, adding: "I think we'll be disappointed with our performance technically today, and that's probably epitomised by the two goals where we're disappointed with how we've given them the ball in those situations and then how we defended.
"I think the goals sum up aspects of our performance where there was some good, lots of moments that could have led to opportunities, but we were slow to shoot around the box," he said.
The defeat, combined with Manchester United's 4-2 win over Sheffield United, means Newcastle drop to seventh, while eighth-placed West Ham are two points behind with a game in hand.
Newcastle have now lost eight of their last 11 Premier League away games, while they have lost on four occasions in London in the league this term, only doing so more times in a Premier League season in 2000-01 and 2005-06 (both five).
It's been a disappointing season for Howe and his side, especially compared to the heroics of last term when Newcastle finished in the top four, and the Magpies boss knows there's work to be done to get back to those levels.
"It's a day that we have to take our punishment, deal with it, and then try and improve," Howe continued. "It's frustrating because we know we're capable of much better."
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