However, it seems the 22-year-old has chosen the Blues over United.
They claim that the midfielder will jet into England this week to complete his medical before finalising a deal to become only Chelsea's third summer signing.
Three years later, the Serbia worldwide, at the request of Mourinho, who else, was back at the Bridge - but it cost Abramovich £21m to sign Matic as there was no cordial buy-back clause in his sale contract.
Chelsea's increasingly protracted pursuit of Alex Sandro has taken another twist with the news that Nemanja Matic could be used as a makeweight in order to secure the Brazilian midfielder from Juventus.
New Zealand opt to bowl
That considering Sophie Devine , who is struggling with a side strain, is fit to take field. There can't be a better motivation for either of the sides to give it their all tomorrow.
It now remains to be seen if Manchester United are able to enter the fray for Matic again, or if they are forced to resign themselves to seeing him join Inter Milan instead.
Chelsea's offer stands at £35 million, a figure they had been unwilling to go beyond due to concerns over a knee injury that required keyhole surgery last month and could yet force Bakayoko to miss the opening weeks of the new campaign.
There had been speculation Manchester United might try and stymie the bid for Bakayoko - who made his senior global debut earlier this year - just as they did with Lukaku, as they broke the record for a deal between British clubs of Â£75m to prise him away from Everton on Monday.
Bakayoko will have a medical this week and if all goes well, he may travel with the rest of Chelsea squad to China and Singapore next Monday.
The Sun says the 22-year-old made a decision to leave the Premier League champions in order to further his career. And Blues fans won't have been amused to read about Mourinho gloating over his capture of Lukaku in the Evening Standard with their former manager saying "it's only natural that he wants to develop his career at the biggest club".
That post was soon deleted, leading to a huge sigh relief from the Stamford Bridge faithful. With the likes of Marcelo Brozovic and Geoffrey Kondogbia blowing hot and cold last season, Matic is just the kind of quality midfielder who can add solidity to Luciano Spalletti's side.