If the Welshman joins, Carlo Ancelotti is expected to trim his already bulging Madrid squad and the 25-year-old could be one of the first to leave the Bernabeu.
However, Di María, who put in a man-of-the-match performance in the club’s 1-0 victory over Granada on Monday, is adamant he wants to see out the remaining five years of his Madrid contract.
“I understand that the club is strengthening and they are precise in what they do,” Di María told AS.
“But I signed up to 2018 just a year ago and my desire is to stay in the Bernabeu.”
Di María has scored 18 goals in 92 La Liga appearances following his €36m (£31m) move to Madrid from Benfica in 2011.