It is a decision that has been unpopular with fans, given the already congested festive fixture schedule.
"The club is aware that transport options are more limited than usual on this date, as it is a Sunday and also Christmas Eve," Chelsea said in a statement.
"As a sign of appreciation for fans making this trip, Chelsea Football Club will be offering free travel as a goodwill gesture to anyone who purchases a ticket."
The Chelsea Supporters’ Trust said: “It is totally unacceptable that Wolves v Chelsea has been scheduled for Christmas Eve.
“Not only could this lead to staffing issues at Molineux, but holiday transport timetables will further inconvenience supporters.”
Chelsea manager Mauricio Pochettino will also be unable to celebrate his wedding anniversary as well as the holiday.
The manager said last week: "It is difficult because it is not easy to change," he said last week. "We need to accept we are in England and it is different to the rest of the world ...
"Even if I am not happy, we need to try to be in our best level and accept a situation we cannot change."
In August Chelsea were criticised for putting financial strain on fans after removing a £10 subsidy on coach travel to domestic away matches, deciding it was not ‘financially sustainable’.
The club has spent almost £1bn on signings since Todd Boehly and Clearlake Capital bought the club in 2022.
With reporting from Reuters.