But the Celtic striker is not set for a meeting with Stamford Bridge chiefs.
He has made the trip to the capital for an injury assessment.
According to Evening Standard journalist Tom Collomosse, the Celtic striker will meet a specialist to discuss a knee problem.
Collomosse tweeted: “Believe Moussa Dembele may be travelling to London today.
Believe Moussa Dembele may be travelling to London today. At this stage, it would be for a meeting with a specialist about a knee problem.
— Tom Collomosse (@TomCStandard) January 31, 2017
“At this stage, it would be for a meeting with a specialist about a knee problem.”
Antonio Conte is on the hunt for a striker to provide back-up to Diego Costa.
Former Fulham star Dembele, 20, has emerged as a target for the Chelsea boss but Celtic will not sell for less than £40m.
Dembele has scored 20 goals in 38 appearances for the Hoops so far this term, including three in the Champions League group stage.