The Japanese had attracted a lot of attention before the gravel classic by telling that she will boycott the media to protect her mental health.
And after today's win against Patricia Maria Tig, Osaka kept to its statement not to attend the press conference after the match.
That decision cost her around SEK 125,000.
The amount will be deducted from the star's prize money.
And now the star has also been told by all four Grand Slam tournaments that if she continues to nob the press, she will face tougher penalties - where she may be disqualified from upcoming competitions.
A statement from, among others, the president of the French Tennis Federation, Gilles Moretton, quotes the rule book, which states that she may in future receive a larger fine and risk being suspended in future Grand Slam tournaments, if she chooses to continue on the same course.
ARCHIVE: Djokovic on Osaka's boycott (28 May 2021)
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Novak Djokovic criticizes Naomi Osaka.
Photo: TT News Agency