The side's recent form has been poor, losing at home to Bolton, before drawing to another relegation-threatened side, Blackburn, also at home.
Fans have been vocal with their frustrations, but Moyes insists the players he has will suffice once they improve their performances on the pitch.
"I can understand them [the fans] being frustrated because of how we're playing," he told his club's official website.
“But the only negativity there is at the moment is because of how the team plays. We've not played well enough."
Moyes also moved to to deflect criticism aimed at the club's board, insisting they have no influence on on-field matters, therefore cannot be held responsible, saying it is he and the team who need to up their game.
"It's nothing to do with the board of directors, it's nothing to do with the chairman, it's to do with me and the team - we've got to play better on the pitch," he said.
"The team plays better, it lifts all the mood. We need to perform better, we need to win more often, and if we do that it changes everything.
“Winning football games is always the answer, so I'll take responsibility for that."
The Blues host Fulham in the FA Cup fourth round on Friday evening, before hosting league leaders Manchester City in the Premier League on Wednesday.