The west London edged into a first-half lead thanks to Oscar’s second strike this week after the Brazilian netted against Bolton Wanderers in midweek.
Diego Costa, who is continuing to manage a niggling hamstring injury, scored his eighth Premier League goal of the season in the 58th minute in west London.
Willian then sealed maximum points for the home side with his first strike of the season in the 79th minute to keep the Blues three points clear of Southampton.
And Chelsea defender Azpilicueta was thrilled that the Blues continued their winning streak ahead of an important game at Sporting Lisbon on Tuesday night.
Great win to keep us on top of the table! Now turn to Champions! Thanks for your support, amazing day at the Bridge! pic.twitter.com/RuhCmDxvO3
— César Azpilicueta (@CesarAzpi) September 27, 2014
Chelsea will hope to register their first Champions League win in Portugal after a 1-1 draw with Schalke earlier this month.
The Blues and Arsenal are the only unbeaten sides remaining in the English top flight.
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