The Blues are keen to snap up both Craig Gordon and Moussa Dembele from the Scottish champions.
But Chelsea are unlikely to seal a deal for either, according to Sky Sports reporter Luke Shanley.
Dembele has been spotted heading to London although it appears he is getting treatment for an injury.
Moussa Dembele looks set to stay at Celtic despite interest from Chelsea
“I can tell you that Moussa Dembele is on his way to London… for a scan on his knee injury that has kept him out of the last two games,” Shanley said on Sky Sports.
“So he is on his way to London, but at the minute it’s certainly not to sign for Chelsea. It’s to get that scan on his knee.
Chelsea target Moussa Dembele boards flight to London
Tue, January 31, 2017
Celtic striker Moussa Dembele has been spotted on board a flight to London on deadline day amid rumours of a move to Chelsea
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Moussa Dembele has been spotted on board a flight to London on deadline day
“We understand Chelsea are interested and Celtic would hold out for a large fee, that’s for sure. £40m we understand, but I think they’re very relaxed and they don’t need to sell.
“Craig Gordon likewise I think they will be looking to hold onto their goalkeeper. Brendan Rodgers saying categorically Gordon will not be sold.”