The 20-year-old striker is on the radar for Blues boss Antonio Conte and a transfer deadline day move could still take place.
Dembele was spotted heading on a plane to London this morning, fuelling further rumours.
And now comedian Darren Farley – who hit internet stardom for his spot-on impression of the Celtic boss Rodgers – has posted what he believes the 44-year-old will do with the extra cash.
“We’ll use the wee money to give Kolo Toure a new 56-year-contract because he’s only a young player and a beautiful human being,” the impressionist joked.
But despite the interest from Chelsea, Celtic confirmed that Dembele was travelling to the capital to have a scan on his knee.
The Frenchman only joined Celtic in the summer from Fulham, for just £500,000.
He has since scored 20 goals for the Bhoys and has attracted from a whole host of clubs.
Chelsea are also keen on signing Celtic goalkeeper Craig Gordon before the transfer window shuts at 11pm.