The 22-year-old told reporters that Los Blancos must push on in similar fashion after extending their unbeaten run to six matches in all competitions.
"I think we're in a good moment and we must continue like this," Asensio said. "We have improved and we played fantastically well. I'm happy with the victory.
"The first goal was a gamble on my part. I thought that if the shot was saved I would have a chance to get to the ball. I celebrated my second goal with Dani because he is a very close friend, I dedicated it to him."
Los Blancos return to action on Wednesday with a La Liga trip to Leganes.