Silva is under pressure at Goodison Park.
But Sigurdsson told the Mirror: “I feel a lot of trust and belief from the manager.
“I get on very well with him. I enjoy working with him.
“He takes the job seriously. He's direct with the players. He's always here. There's never been a time when I've come in or left the training ground and his car's not been here.
“We feel we can play against the best teams, put in good performances, we did it at Anfield and we did at Goodison. The atmosphere was the best I've played in and the noise was incredible. It was electric, it gave us an extra ten per cent of energy.
“It shows how good the team is. But we're better than what we're showing at the moment."