Maurizio Sarri has told Danny Drinkwater and Victor Moses to improve tactically to secure their Chelsea futures.
The Chelsea boss admitted he is unsure whether Drinkwater and Moses can adapt enough to fit into his tactical blueprint at Stamford Bridge.
Drinkwater has only featured in the Community Shield for Chelsea this term, while Moses has made six appearances but only two in the Premier League under new manager Sarri.
Asked if Drinkwater and Moses still have futures at the club, Sarri replied: "I don't know; they have to improve, but the characteristics are a little bit different.
"The situation is that Drinkwater for me is not suitable for a midfield with two midfielders. I told him two months ago what I think.
"And Moses is more suitable for playing like a wing-back than like a winger or a full-back."
Leicester midfielder Danny Drinkwater has backed Craig Shakespeare to stay beyond the summer as the Foxes prepare for their Sevilla showdown.
New boss Shakespeare was named as the club's new manager until the end of the season on Sunday.
He replaced Claudio Ranieri after the Italian was sacked last month, just 24 hours after Leicester's 2-1 Champions League last 16 first leg defeat in Seville.
Shakespeare, who was Ranieri's assistant, takes charge of his first game as a full-time manager in the second leg at the King Power Stadium on Tuesday and insists he has not thought about the job beyond the end of 2016/17.
But Drinkwater wants to see the new manager stay for a long time.
The Football Association is examining footage of Leicester's Danny Drinkwater appearing to elbow Watford's Valon Behrami.
The Foxes midfielder clashed with Behrami in the 67th minute of the Horents' 2-1 Premier League win at Vicarage Road on Saturday.
Referee Neil Swarbrick took no action during the game but the FA, having been alerted to the footage after it ran on social media on Sunday, may act once they discover if the official saw the incident.
If the FA decides there is a case to answer then Drinkwater, who was booked in the game, could face a three-game ban for violent conduct.
Leicester boss Claudio Ranieri remained unconcerned over the incident, ahead of the Foxes' Champions League game with Club Brugge on Tuesday.
He said: "I don't like to speak now about this speculation. I saw the referee was very close to the incident, he doesn't whistle or take any consequences, then I think it's OK."
Drinkwater was initially a major doubt for the game because of a rib injury which forced him out of Gareth Southgate's last England squad.