But the Daily Mail claim Real have been encouraged by Hazard to bid and will make a £150m offer in the coming weeks.
Spurs fans will be boosted to hear the 26-year-old is not being prioritised by Barcelona due to their pulling power, having taken great players from the Premier League before such as Philippe Coutinho and Thierry Henry.
Without Champions League football and the issues with the manager, Belgian winger Eden Hazard would want to move away from the club.
The La Liga club do have the Spurs attacking midfielder as a potential target, but now consider Chelsea's Eden Hazard as a priority signing over him, according to Spanish publication Marca.
The Belgium global had an excellent World Cup campaign after a disappointing domestic season at Stamford Bridge.
Chelsea have not made any summer signings and their managerial situation is still uncertain with Antonio Conte in charge.
Courtois, who was unable to prevent Belgium from suffering a 1-0 loss to France in the World Cup semi-finals on Tuesday, has less than 12 months to run on his current deal.
Hazard shone for Belgium in Russian Federation and will have the chance to showcase his skills one more time on Saturday when his side take on England in the third place play-off.