Olivier Giroud lone goal gave Chelsea a four points advantage ahead Manchester United and Leicester city who happens to be in the fourth and fifth position, in the race for the UCL spot next season.
Chelsea qualification was at stake when they were beaten by the blades of Sheffield United last time out and drop three point.
Chelsea find it difficult to convert so many chances to goal after a sluggish performance from the players
Giroud eventually scored a goal after a fabulous cross from the American starlet Christian pulisic.
The blues later ended with a goal to nil win after so many chances created by the blues.
The Blues remaining fixtures will be Liverpool and Wolves.