Officials of the four Grand Slam tennis tournaments have promised to address mental health issues seriously after Naomi Osaka's decision to withdraw from the French Open.

"While players' well-being has always been a priority to the Grand Slams, our intention, together with the WTA, ATP and ITF, is to advance mental health and well-being through further actions," the organizations said in a statement.

The promise was made by the same four tennis administrators who threatened the possibility of disqualification or suspension for Osaka if she continued to skip news conferences, news reports Wednesday said.

The four-time major champion and No. 2-ranked player was fined $15,000 when she didn't speak to reporters after her first-round victory at Roland Garros Sunday. The next day, Osaka pulled out of the tournament saying she experiences "huge waves of anxiety" before meeting with the news media and saying she has "suffered long bouts of depression."

Osaka, a 23-year-old who was born in Japan and moved with her family to the U.S. at age 3, said she would "take some time away from the court now, but when the time is right I really want to work with the Tour to discuss ways we can make things better for the players, press and fans."

"On behalf of the Grand Slams, we wish to offer Naomi Osaka our support and assistance in any way possible as she takes time away from the court. She is an exceptional athlete and we look forward to her return as soon as she deems appropriate," the statement from those in charge of the French Open, Wimbledon, U.S. Open and Australian Open said.

"Mental health is a very challenging issue, which deserves our utmost attention. It is both complex and personal, as what affects one individual does not necessarily affect another. We commend Naomi for sharing in her own words the pressures and anxieties she is feeling and we empathize with the unique pressures tennis players may face."

French tennis federation President Gilles Moretton, All England Club chairperson Ian Hewitt, U.S. Tennis Association President Mike McNulty and Tennis Australia President Jayne Hrdlicka pledged to work with players, the tours and media "to improve the player experience at our tournaments" while making sure the athletes all are on a "fair playing field, regardless of ranking or status," The Associated Press reported Wednesday.

Meanwhile, support continues to pour in for Osaka from fellow players and others.

 Gael Monfils, the No. 1 player from France, said tennis needed Osaka back on court while former U.S. Open champion Sloane Stephens said Osaka should be applauded for her decision to pull out of the French Open to focus on her mental health, Reuters reported Wednesday.

Stephens, a WTA Players' Council member, hoped Osaka would come back stronger after her time away from the tour.

"We should be more accepting and allow her to take the time she needs to work on herself and better herself so she can be in a better position to play tennis and be happy and enjoy her game," Stephens said, according to Reuters.