"I'm happy because it's a sign of confidence, that we have done good work," Zidane told a pre-match press conference ahead of Real's Spanish Super Cup showdown with Barcelona when quizzed on reports over his future.
Madrid sports daily AS reported the Frenchman will be rewarded with a three-year deal for his feats in not only delivering two Champions Leagues in just 20 months in charge, but also Real's first La Liga title for five years.
"I'm lucky enough to have this extraordinary squad and I am very happy with it."
Zidane added a sixth trophy to his burgeoning collection as a coach when Madrid saw off Manchester United 2-1 to retain the UEFA Super Cup on Tuesday.
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However, he acknowledged that even his future will depend on maintaining his winning streak given the high demands placed on coaches at Madrid.
"You could sign a contract for 10 or 20 years, but I know where I am and what I have to do," he continued.
Zidane also warned the European champions against a Barcelona backlash at the Camp Nou on Sunday (kick off 2000GMT).
Barca are still reeling from the loss of Neymar to Paris Saint-Germain for a world record 222 million euros ($262 million) with their attempts to land a replacement in Liverpool's Philippe Coutinho and Ousmane Dembele of Borussia Dortmund so far falling short.
Zidane admitted "there aren't many players" with Neymar's individual qualities, but claimed his absence wouldn't give Madrid the upper hand over two El Clasico clashes in four days with the second leg of the Super cup to come at the Bernabeu on Wednesday.
"Neymar isn't replaceable but there will be others that will do very well. If we think it is going to be easier tomorrow we will be mistaken.