The report states that Manchester City's suspension from Europe's elite club football competition - the UEFA Champions League - has prompted the 28-year-old to consider his future. It further claims that the Belgian midfielder is exploring a move away from Manchester to Madrid.
De Bruyne has already established his name as one of the best midfielders in the world and is arguably Manchester City's best player this season.
If he is to join Real Madrid, it would cost the Spanish side €150 million. Los Blancos have improved considerably under Zinedine Zidane and will be looking to bolster the squad in the summer.
Meanwhile, Manchester City have already appealed against the suspension from Champions League. Should they win in their bid to overturn the ban, it might have an effect on De Bruyne's plan and convince him to stay put at the club.