However, as well as constant speculation regarding Kai Havertz, the Blues have plenty of other business to attend to over the coming weeks.
Needing to further boost his already-inflated transfer kitty, Frank Lampard is eager to make a number of player sales before the end of the month.
Here, Sports Mole rounds up the latest news on possible comings and goings from Stamford Bridge.
With David Alaba having less than a year on his contract at Bayern Munich, several clubs are taking an interest in his signature.
That is said to include Chelsea, who will likely view the versatile defender as the ideal candidate to play on the left-hand side of a back three.
However, despite claims that the Austria international is keen on a new challenge, it appears that Bayern are still fighting to retain the services of the club legend.
Bayern Munich CEO Karl-Heinz Rummenigge has told media that he is "cautiously optimistic" about tempting the 28-year-old into remaining at the Allianz Arena.
Despite his appearance against Bayern Munich in the Champions League on Saturday evening, Emerson Palmieri finds himself down the pecking order at Stamford Bridge.
That has inevitably led to frequent talk about a return to Italy with a number of top Serie A clubs said to be monitoring the situation.
In a bid to encourage bids for the full-back, Football Insider claims that club officials are prepared to lower their valuation.
The report says that Chelsea are now willing to entertain offers of £18m, rather than the £25m which has been suggested in previous months.
While Tiemoue Bakayoko has been contracted to Chelsea since 2017, the midfielder has spent the last two years away from the West Londoners.
With no prospect of featuring in Lampard's plans going forward, there is a strong desire to get the former AC Milan and Monaco loanee off the books.
Although Chelsea value the 25-year-old in the region of £20m, Sky Sport Italia suggests that Milan are attempting to reach a compromise.
The report claims that the Serie A outfit are prepared to pay £2.6m for another season-long loan, with the option of signing the player for £31m next summer.
Bakayoko still has two years left on his contract, providing Chelsea with some breathing space during negotiations. body check tags ::