That run is their worst in the top flight since February 1995, and their start to the season is their poorest since Roman Abramovich took charge of the club, with just seven wins and five draws from their opening 15 games.
When Benitez was asked whether his job security was in question he added, "Again I would say it depends on things that we can do on the pitch. We improve on the pitch [and] it will be easier for everyone," he told The Daily Mail.
The former Liverpool boss accepted that his task could be greater than he first anticipated, and hopes the hostility of the fans, which has included banners supporting former Blues' manager Roberto Di Matteo, will not affect the players.
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"I hope that would not be the situation. Why? Because we have experienced players, so they know that they have to manage and cope," he said when asked if the situation would affect his players' performance.
Despite the Blues' bad run of form, Benitez remains adamant that his side can turn things around quickly, and the Spaniard feels Chelsea can still achieve their goals.
"We know that we have to win games to change things around. My concern is to improve the team to analyse what is wrong on the pitch. If we improve the team and start winning, it will be easy to turn things around," he continued.
"We have to improve on the pitch and the fans will be happy. If we improve on the pitch it will be easier for everyone."