Real will claim to have negotiated Chelsea down, arguing the initial fee is around £88 million but the full value is much higher and will be viewed as another big win for director Marina Granovskaia inside Stamford Bridge.
Granovskaia stuck to her price, despite Hazard publicly stating he wanted to leave after last week's Europa League final victory over Arsenal and Real's attempts to play hardball.
Hazard is on duty with Belgium but the agreement of personal terms between the forward and Real are viewed as a formality.
The deal means Chelsea will make almost £100 million profit on Hazard, who they signed for £32 million from Lille in 2012. In his seven seasons at the club, he scored 110 goals and won two Premier League titles, two Europa Leagues, the FA Cup and League Cup.
The blow of losing Hazard will be softened by Chelsea agreeing a new five-year contract with Callum Hudson-Odoi, who will take the 28-year-old's place on the left side once he recovers from injury.