Nigeria star Victor Moses was an unused substitute as Chelsea bounced back to winning ways following a 2-1 Premier League win against Crystal Palace at Stamford Bridge on Saturday.
Moses has featured 21 times in the English Premier League for the champions this season.
Chelsea got their goals through Willian and a Martin Kelly own goal, while former Blues defender Patrick Van Aanholt was on target for the visitors.
The Blues who had lost four of their last five games in the Premier League heading into the game reduced the gap between them and fourth-placed Tottenham Hotspur who are away to Bournemouth on Sunday to two points.
After a long period of dominance, Willian broke the deadlock for Chelsea in the 26th minute.
The Brazilian cut inside Luka Milivojevic and Andros Townsend and sent a deflected shot past Wayne Hennessey.
Chelsea’s second of the game in the 34th minute had a touch of luck.
Davide Zappacosta’s shot was cleared off the line by Martin Kelly, only to hit Hennessey on the back and then ricocheted back off the defender and over the line for an own goal.
Van Aanholt ensured a nervy end to the game by reducing the deficit on the dot of 90 minutes.