And Roman Abramovich's team are set to break the bank to lure the midfielder to Stamford Bridge, as reported by Metro.
United are still favourites to sign the player in the Spanish press, with Arsenal still having a first option on their former starlet, but Chelsea hope to flex their financial muscle and offer the former Gunner a deal he cannot reject.
Fabregas' departure from the Nou Camp was possibly confirmed by his team-mate Gerard Pique, who was caught by television cameras discussing the player's exit with his national team boss, Vicente del Bosque.
Richard Beech of the Mirror writes that the Barca defender said in a hushed conversation: "[Cesc Fabregas] told me [the deal] is done. He's already leaving, he told me that it is €33million."
However, the player then covered his mouth and smiled, to infer that his comments might have been a joke.
But Pique recently had his say publicly on Fabregas and defended the player's position and reputation at the Catalan club.
He told Mundo Deportivo (h/t Beech): "I do not know what will happen, but I hope he stays. Cesc has never been sufficiently evaluated in Barcelona. He is not valued as he deserve. Cesc would work in any club in the world, but this club is very complicated."
Despite his probable departure from Spanish football, Fabregas' statistics have been good for his club this year.
The 27-year-old player has provided nine goals and 14 assists in La Liga and European competition, per WhoScored.com.
Fabregas would be an interesting signing for Chelsea, but it is debatable whether the player suits Jose Mourinho's defensive style. The Special One sold Juan Mata on the premise that he could not play the high tempo counter-attacking tactics that he prefers, and it is difficult to know whether Fabregas would also have an issue with this.
Many will see the player as a direct replacement for Frank Lampard but with Eden Hazard, Oscar and Willian all occupying the attacking midfield roles, Fabregas will have to partner Nemanja Matic in a more defensive-minded position.
Fabregas would be much more suited to Arsenal's needs in terms of style and philosophy, but Chelsea will want to make a statement of intent in this summer's transfer market and the Barcelona player will fit the club's agenda to purchase star names.