Brazil international Luiz was replaced in the closing stages of the 3-0 win over Everton last time out after picking up an injury when trying to clear the ball from the outside of his own penalty area.
The centre-back, who has been one of the stand-out performers for the Blues this season, will be handed a late fitness test but if he is unable to feature then Nathan Ake is likely to deputise at the back.
Frenchman Kante is also facing a battle to be fit after he picked up a thigh problem and manager Antonio Conte will also assess the midfielder before the clash at Stamford Bridge.
Goalkeeper Thibaut Courtois will be available after shaking off a recent knock and there is a fully-fit squad, bar the two fitness concerns, for the Chelsea boss to choose from.
A win for the home side would put them one step closer to the Premier League title whilst also confirming Middlesbrough’s relegation to the Championship.