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. September 2018
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|Orioles become first pro team to wear braille jerseys|
|Klopp hails ´brilliant´ Henderson|
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|Atletico Tucuman 0 Gremio 2: Libertadores holders draw first blood in QFs|
|Thomas plays down wrist worry|
|Rakitic wants more from Barcelona hat-trick hero Messi|
|My players aren´t s*** – Pochettino defends Spurs squad|
|Cubs reliever Morrow won´t return this season|
|Tebow expected to be back in Mets organisation next season|
|Inter can compete against anyone – Icardi revels in Champions League victory|
|Tuchel: PSG loss to Liverpool not logical or correct|
|Sturridge in best shape I´ve seen – Klopp|
|Milojevic celebrates ´fantastic´ occasion after Red Star´s 26-year wait|
|Rodrigo and Simeone salute Griezmann display|
|Seahawks DE Clark on Bears QB Trubisky: He´s nothing special|
|Carroll says Wilson has been ´over-trying a little bit´|
|Judge returns to Yankees´ starting lineup|
|Napoli boss Ancelotti takes aim at Red Star time wasting|
|Favre admits young Dortmund stars struggled in Bruges|
|Otavio would trade goal for Porto victory as he bemoans Schalke draw|
|Championship Review: Pacesetters Leeds crush Preston, Villa end five-game winless run|
|Neymar world-class but not a defender - Klopp says Liverpool targeted PSG star|
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18. September 2018
|Gojowczyk eliminates returning Tsonga in Metz|
|Liverpool enjoying best start in 57 years after PSG win|
|Galatasaray 3 Lokomotiv Moscow 0: Terim´s side make light work of Russians|
|Club Brugge 0 Borussia Dortmund 1: Super sub Pulisic scores late winner|
|Schalke 1 Porto 1: Fahrmann saves one penalty, but Otavio scores another|
|Red Star Belgrade 0 Napoli 0: Points shared as Italians fail to make possession pay|
|Liverpool 3 Paris Saint-Germain 2: Firmino strikes late as Reds edge five-goal thriller|
|Monaco 1 Atletico Madrid 2: Costa and Gimenez seal comfortable win|
|Chaos reigns in Serie B as league denies suspension claim|
|India secure Asia Cup victory despite valiant Hong Kong effort|
|Messi makes "extraordinary routine", says Valverde after Barca star surpasses Ronaldo|
|Spalletti´s Inter to take heart from Tottenham turnaround|
|Casillas features in landmark 20th Champions League campaign|
|Spurs deserved more from best performance of the season - Pochettino|
|Brown absent from Steelers facility on Monday due to ´personal matter´|
|Toronto´s Bussey given eight-match biting ban|
|Barcelona 4 PSV 0: Marvellous Messi lights up Camp Nou|
|Inter 2 Tottenham 1: Icardi, Vecino complete dramatic late turnaround|
|Allegri, Chiellini defend Costa over spitting ban|
|Firmino only fit enough for bench duty|
|Kovac applauds Sanches ahead of Benfica homecoming|
|Tomlin confirms Steelers WR Brown was absent from facility on Monday|
|Mourinho tells United to follow Federer´s lead amid Young Boys pitch concerns|
|Costa banned for four Serie A matches for spitting|
|PGA Tour announces changes to FedEx Cup Playoffs format|
|Rashford to start against Young Boys, Mourinho confirms|
|Ryder Cup heading to Congressional in 2036|
|I never listen to stupid things - De Gea unconcerned by criticism|
|Aguero trains as Mendy sits out Man City session|
|Lampard fined after accepting improper conduct charge|
|Serie B suspended after Pro Vercelli win appeal|
|Mitchell returns to England as defence coach|
|Brady completes Cornet upset in Guangzhou|
|Lopetegui giving no guarantees to ´fighter´ Navas|
|Di Francesco denies racially abusing Costa|
|Saunders apologises for ´sickening´ online video|
|Tianjin Quanjian 0 Kashima Antlers 3 (0-5 agg): Semi-final spot booked in resounding fashion|
|Madrid cannot live on Ronaldo´s glories, warns Ramos|
|Real Madrid are Champions League favourites, insists Man City coach Arteta|
|Stokes & Hales charged with bringing game into disrepute|
|Stephens slips to Vekic defeat in Tokyo|
|Simeone should teach Griezmann values - Ramos questions Ballon d´Or ambition|
|Arteta ready to step into Guardiola´s shoes after missing out on Arsenal job|
|Naive or scheming - Ozil´s agent slams Kroos, Neuer and Muller|
|Bolton´s Darby forced to retire after Motor Neurone Disease diagnosis|