Leonardo Jardim says he is staying at Monaco amid speculation linking the coach to Chelsea, while Fulham's Slavisa Jokanovic has also distanced himself from rumours he could switch to Stamford Bridge.
Chelsea are expected to part company with Antonio Conte despite last weekend's FA Cup final win over Manchester United, which gave the Italian another major trophy to add to the 2016-17 Premier League crown he earned in his first season in English football.
Jardim and Jokanovic are reportedly among the main contenders to take over at the Blues, while another reported front-runner, Maurizio Sarri, left Napoli on Wednesday, being replaced at the Serie A runners-up by Carlo Ancelotti.
Monaco won the 2016-17 Ligue 1 title under Jardim before seeing their squad decimated by the departures of players including Kylian Mbappe, Benjamin Mendy and Bernardo Silva.
Jardim could lose further stars, with Thomas Lemar and Fabinho both linked with a move away, but the Frenchman says he is committed to Monaco for the upcoming campaign.
"I am fortunate to have Dmitry Rybolovlev as president," Jardim said on Wednesday.
"We have a relationship of trust, we have been working together for four years, and he is a president of great quality: to know how to take the important decisions to make forward the club.
"We will continue together for the future and continue to progress the project of Monaco."
Merci Dmitry Rybolovlev pour ce séjour à Skorpios! pic.twitter.com/jHOfiRy2NP— Leonardo Jardim (@leonardojjardim) May 23, 2018
Jokanovic, a former Watford and Maccabi Tel Aviv coach, is preparing for Saturday's Championship play-off final against Aston Villa.
And the Serbian said he is not allowing links with Chelsea to act as a distraction from the prize up for grabs - promotion to the Premier League.
"I have enough important jobs at this moment for thinking about this kind of situation," Jokanovic, who played for Chelsea towards the end of his career, told reporters.
"It's only my commitment and I am thinking only about the final and I don't have time for thinking about this."
19. Juli 2018
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|Aggressive McIlroy doing it his way, not the fairway|
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|Thomas makes it back-to-back wins|
|Ramos may remain for Spain but Luis Enrique promising surprises|
|Cazorla still playing through pain after Villarreal appearance|
|Vegas to Carnoustie - a hellish trip for Jhonattan|
|NFL training camp 2018: Five under-the-radar rookies to watch|
|Woods off to a flyer as Thomas charges|
|Sanchez given green light to join Man Utd tour|
|Greipel, Groenewegen and Gaviria latest sprinters to abandon Tour de France|
|Luis Enrique hopeful over Pique as he plots a Spanish evolution|
|I had a brain fart - Spieth disappointed with missed opportunity|
|I´ve sacrificed too much to quit, says injury-plagued Rossi|
|Klopp rejects Henderson´s plea to return early to Liverpool training|
|Open champion Spieth loses ground in scrappy finish|
|Alexis Sanchez hints visa issue sorted as United States trip beckons|
|Kovac an admirer of Pavard, expects James to stay|
|Dzeko happy at Roma and eyeing silverware|
|Eels win basement battle with Bulldogs|
|Kluivert to follow Totti´s example after taking ´big step´ with Roma|
|Kisner hopes to return Claret Jug favour to Spieth|
|FIBA bans 13 players & two coaches over Philippines-Australia brawl|
|Spieth and Rahm in the mix as Kisner sets the target|
|Monchi insists Roma remain ambitious as Liverpool close in on Alisson|
|Cavendish thanks ´race that shaped career & heart´ after cruel Tour exit|
|No Trent Bridge Ashes Test as England confirm schedule|
|Ajax tell Barcelona not even ´insane´ money will buy De Ligt, De Jong|
|Hamilton agrees two-year Mercedes extension|
|Uran withdraws from Tour after failing to shake off injuries|
|Spieth tees off Open defence|
|Zidane has shown no will to coach France, insists FFF president|
|Risking the curse - Steelers star Brown lands on Madden 19 cover|
|Pogba silenced his critics with World Cup displays – Ibrahimovic|
|Warburton overwhelmed by support following retirement|
|Wilshere excited by tactics of Wenger-like Pellegrini|
|Deschamps never considered France exit prior to World Cup win|
|Persepolis eye Champions League after Iran impress at World Cup|
|Sandy Lyle gets The Open underway at Carnoustie|
|Roosters sign England international Hall|
|Ovechkin, Kim earn major honours at ESPY Awards|
|Owens not ´actively seeking´ to play in NFL again|
|Argentina need Messi – Tevez urges Lionel not to retire|
|Minnesota United 2 New England Revolution 1: Ramirez, Quintero sink stuttering visitors|
|Shaw: I want to be first name on Man United teamsheet|
|Manny Machado dealt to Dodgers|
|Pjanic hails Ronaldo arrival but refuses to confirm Juve future|
|Perotti: Roma can cope without Liverpool-bound Alisson|
|Klopp hopes Liverpool building towards title tilt|
|Karlovic exits as four seeds bow out in Newport|
|Angels clap back at Manfred´s marketing comments on Trout|
|Titans DL Casey will still protest despite new anthem policy|
|Popovich on Leonard trade: It´s time to move on|
18. Juli 2018
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|Anthony Joshua targets ´dream´ fight in Texas|
|Celtic 3 Alashkert 0 (6-0 agg): Dembele hits brace before injury worry|
|Schwartzman stumbles but Spanish duo reach last eight at Swedish Open|
|Top seeds progress in Bucharest as Larsson conquers Kung|
|Perez promises ´incredible´ signings at Real Madrid|
|Liverpool need a top goalkeeper - Souness|
|It was just an absolute car crash - Root regrets bat-drop celebration|
|Mourinho´s pre-season fears mount with Sanchez sidelined|