“The boys deserved it", he said. "
"But the players was top class and on top of it we played very well. It didn't look a performance of tired boys or the worst possible calendar that you gave us. It looked a fresh performance.”
The Portuguese added praise for the crowd at Goodison Park, and said he was impressed with how his side dealt with the atmosphere.
"The boys were fantastic in the way they controlled the game, controlled an amazing stadium with a very strong atmosphere which supports incredibly well the home team.", he said.
"We managed to calm them and to be in control and on top of that the goals are good goals, so I think a fantastic three points."
Finally, Mourinho would not be drawn on whether or not he would be looking to add to his squad in the January transfer window following injuries to strikers Romelu Lukaku and Zlatan Ibrahimovic.
“I honestly don't know [about transfers].", he added. "I know in this moment we are in trouble, in two or three weeks time maybe we recover some players and we breathe in a different way."
"Can we improve now or do we wait until the summer to try to do it? I cannot say."