Goals from Bernard and Gylfi Sigurdsson secured a 2-0 win for the Blues at Goodison and in the process ended a four game losing streak that had piled the pressure on Silva.
Asked if the win had eased the pressure, Silva replied: "Pressure is normal in football.
"When you are in a very good moment, the pressure is there to win more games.
"We were not good enough in last results. Pressure has to be a pleasure and a privilege for us.
"We are doing what we love. Express yourselves on the pitch is what I say and we did."