They face struggling Crystal Palace at Selhurst Park at 12.30pm.
Chelsea won the league title on each of the four previous occasions they topped the League at Christmas.
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But boss Antonio Conte says history is irrelevant.
In the 3 o'clock kick-offs relegation-threatened Middlesbrough and Swansea meet at the Riverside Stadium.
Bottom of the table Sunderland host Watford, Hull, who are second from bottom go to West Ham and Champions Leicester are away to Stoke,
Manchester United can move to within three points of the top four by winning at West Brom in the late game at 5.30pm.
