This is according to Spanish football journalist Manu Sainz.
However, there is now some support for Manu Sainz's claim, with Sky Sports reporting that Chelsea do in fact have a "serious and strong interest" in signing Kun.
The journalist tweeted on Sunday that Chelsea have expressed interest in signing the Argentina worldwide and Pep Guardiola has given the thumbs up for the deal.
Chelsea are thought to be on the lookout for a new striker this summer, with Diego Costa's future at Stamford Bridge remaining unclear.
Having missed out on Romelu Lukaku to Manchester United and Alvaro Morata set to move to Serie A, the Italian boss has been forced to look elsewhere.
He tweeted: "BOOM! Chelsea in talks for Aguero!"
Aguero fell behind Brazilian striker Gabriel Jesus in the pecking order for a starting position last season following Jesus' arrival.
Jesus has been Pep Guardiola's first choice since arriving in January.
But it remains to be seen whether Manchester City would be prepared to sell the prolific striker to Premier League title rivals in the shape of Chelsea.
The situation has caught Chelsea's attention and are preparing to make a bid for Aguero who they will start regularly upfront alongside Eden Hazard and one of Pedro or Willian.