Hazard's signing would further threaten Asensio's place at Real.
"These are just speculations. If anyone arrives we'll see, but for now these are just rumours," said Asensio to Marca.
Asked about his own future, the midfielder admits everything is up in the air.
"It's possible, but I do not know the intentions of Real Madrid. At the end of the season, many things are reevaluated. Everything depends on the titles and the will of the club as well as that of the players themselves."