The 26-year-old's deal with the Premier League leaders runs until June 2020, but Madrid are believed to be considering a move for the attacker ahead of next season.
Nevertheless, Hazard is not overly concerned with his future at this stage of the season.
"There is no sign of a new contract for the moment," the former Lille star was quoted as saying by Sky Sports.
"I am focused on the last month and we will talk later.
"It is not in my mind now. I have two or three years left. I just want to finish the season well and we will see afterwards."
Chelsea are on the brink of landing a Premier League and FA Cup double in Antonio Conte's first season at the club, with Hazard playing a key role in the Blues' fine form this term.
Hazard, 26, has scored 15 goals in all competitions so far this season with his latest effort helping Chelsea defeat Tottenham 4-2 to reach the FA Cup final on Saturday.