That is according to Spanish football expert Guillem Balague.
The midfielder left the pitch in tears at Stamford Bridge in Chelsea’s 2-0 win over Nottingham Forest.
Fabregas missed the chance to sign off in style after having a penalty saved by Luke Steele.
The 31-year-old has agreed personal terms with the Ligue 1 strugglers and all that remains is the Blues to give him the green light.
Director Marina Granovskaia is believed to be blocking the move while Chelsea sign a replacement.
Maurizio Sarri is close to welcoming two new additions after plotting a double raid for midfielders Nicolo Barella and Leandro Paredes.
According to Balague, the deal will only be completed once a replacement is signed.
“Everything has been confirmed, that he’s got an agreement with Monaco for three years from the summer,” he said on the GB Transfer Show.
“But Chelsea wants a replacement before they let him go. I can tell you that I think he’s ready to make that move.
“It will be important that Monaco do their part as well because if in the next four games, maybe the whole of January, if Chelsea are looking for their replacement and do not get any victory the target of staying up is going to be very, very difficult.
“The rules is that Chelsea will look for somebody else in his place and he is ready to move on.”
Fabregas is believed to have turned down a move to AC Milan in favour of a reunion with Thierry Henry.
The Monaco boss has revealed that he has kept in contact with Fabregas every 2-3 days since leaving Arsenal for Barcelona.
“I knew that he had offers from Italy, when this opportunity did arise – even though people close to him are telling him that he’s mental – he wanted the challenge,” Balague added.
“For someone who came to England when he was 16, challenges are not something he’s afraid of.”
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