"Super-agent" Pini Zahavi has already been commissioned by Chelsea to facilitate a deal for the 25-year-old and L'Equipe have claimed that Zahavi has already made contact with Fekir's representatives ahead of the January transfer window.
The attacking midfielder was the subject of plenty of interest during the summer transfer window and he seemed to be on the verge of joining Liverpool for a £54m fee before the deal fell through at the final minute.
Chelsea will be hoping to pay less than that because Fekir's Lyon contract expires in the summer of 2020. It appears increasingly likely Chelsea are willing to send the Spaniard out on loan or cut their losses on him.
"As you know, I like him very much".
Victories over Manchester City and Brighton with Hazard in a more unfamiliar role have lead to some suggesting it could be a system Sarri implements more going forward, starting with Saturday's clash against Leicester City.
The club are in the market for a striker with both Álvaro Morata and Olivier Giroud struggling to score with any real consistency.
Wolves 0 Liverpool 2: Tim Spiers and Nathan Judah analysis
There were chances for both teams in the first half, we could have done better in the final third and with final decisions. More chances went begging via Romain Saiss and Morgan Gibbs-White as Wolves couldn't find a way back into the game.
At the same time, Morata is valued at around €45m, a massive drop from the sum they paid to get him from Madrid.
The addition of Fekir makes a whole lot of sense for Chelsea, mostly from a tactical perspective as it will allow to Sarri to be more flexible and have more options in the attacking department, at least till the end of the campaign. The Argentinian has been a world-class finisher his entire career and would give Chelsea a true number nine.
Fekir is versatile and can play on all attacking positions.
Another potential January target for Chelsea is Borussia Dortmund star Christian Pulisic, who is valued at £60m.
Chelsea will tackle Watford on Wednesday in the Premier League fixture.