Fabregas played his final game for Chelsea on Saturday afternoon in the FA Cup win over Nottingham Forest.
The Stamford Bridge crowd gave Fabregas a standing ovation when he exited the field, taking his time to soak up the moment.
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His emotions appeared to confirm this would be his final game in English football having played in 501 matches for both Arsenal and Chelsea.
Monaco have been the hot favourites to sign Fabregas, however there were conflicting reports as to whether AC Milan may make a late bid.
However, Sky Italy’s Fabrizio Romano has “confirmed” that Monaco have won the race to sign Fabregas.
“Cesc Fabregas will be new Monaco player. Done deal and three-years contract,” he tweeted.
The fee is rumoured to be around £9million with Chelsea set to look for replacements this month.
Neither Chelsea or Monaco have confirmed the transfer as of yet but Calciomercato also report the Ligue 1 side have agreed a deal.
It is said AC Milan were hoping to take Fabregas on loan for 18 months with an option to buy.
But Chelsea were keen to get Fabregas off their books for good as he earns a staggering £160,000 per week.
He joins up with Arsenal legend Thierry Henry, who is struggling in his first managerial role.
Monaco are currently in serious danger of being relegated from the French top tier, sitting second from bottom.
Maurizio Sarri is keen to bring in another central midfielder to replace Fabregas and Italian reports have suggested Nicolo Barella is their main target.
It has been reported that Chelsea have already tabled an offer of £45million.
But Barella admits he is not listening to talk about his future or a move away from Cagliari.
“I have never given too much weight to compliments or criticism, I am not impervious, but I know that in this world nobody gives you anything,” he said.