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."
20. November 2018
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|Kemba Walker leads Hornets to win over Celtics|
|Gomez praises ´top player´ Van Dijk, Stones|
|Cricket Australia to maintain Smith, Warner ball tampering bans|
|Brazil´s Tite encouraged by Neymar captaincy|
|Holmes set for NFL switch after Cronulla release|
|Dier encourages English youngsters to follow Sancho´s lead|
|Southgate promises further changes to England squad|
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19. November 2018
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|Ireland will be ready for qualifiers, insists O´Neill|
|Smith undergoes successful surgery, Redskins sign Sanchez|
|Germany 2 Netherlands 2: Dramatic five-minute fightback seals Oranje progression|
|Denmark 0 Republic of Ireland 0: Thrills at a premium again in Aarhus|
|O´Brien could return for start of Six Nations|
|Cavani: Neymar and I are ´friends, brothers, team-mates´|
|Pothas named Windies interim head coach|
|LA Galaxy planning for Ibrahimovic stay|
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|Broner vows to end Pacquiao´s career in Las Vegas|
|UEFA should punish PSG and Man City, says LaLiga chief|
|Teenage driver Floersch has ´no fear of paralysis´ after operation|
|Mancini bemoans Italy´s misfortune in front of goal|
|Sprint legend Johnson ´pretty much back to normal´ after stroke|
|Bournemouth defender Adam Smith out for three months|
|World champions France out to end 2018 on a high|
|I told him there´s no future in football! A-Rod relieved to be ignored by Mahomes|
|Dembele must focus and be more responsible - Suarez|
|Neymar could return one day – Barca chief|
|Cole backs West Ham to keep Arnautovic|
|Injury rules Bernardo Silva out of Poland clash|
|Lamar Jackson debut start ´spectacular´ - Ravens coach Harbaugh|
|Babar run out the turning point, laments Sarfraz|
|West Ham boost London Stadium capacity to 60,000|
|A great advertisement for Test cricket - Williamson revels in stunning win|
|Van Dijk one of the world´s best - Klaassen|
|Floersch had ´angel on her shoulder´ in horror crash|
|Gascoigne charged with sexual assault|
|I am going to stay at Chelsea and fight, insists Giroud|
|Hansen to make announcement on All Blacks future|
|I have reached the top by joining Chelsea - Sarri|
|Bonucci tells Italy boo boys to ´live with less envy´|
|Dramatic Pakistan collapse gives Stead first New Zealand Test win|
|Button enjoying racing for first time in years|
|Dortmund chief not planning Pulisic sale|
|Theismann: Smith leg break ´heart-wrenching´ to watch|
|Wolves defender Jonny suffers knee injury|
|Holmes to meet with Sharks amid NFL switch talk|
|LeBron made 51 points ´look easy´, says Walton|
|McGuire signs four-year deal with Cowboys|
|Bears beat Vikings to extend NFC North lead|
|Peng overcomes Davis in Houston final|
|Kerr says this has been his toughest stretch as Warriors coach|
|LeBron scores 51 in Lakers´ win, Warriors fall to Spurs|
|Win more than Djokovic? Let´s chill out – Zverev|