Celia Gellert, a yoga instructor, first made the allegation against Borders' son, Garry "Dijon" Bowden Jr., in a Facebook post last week, the LA Times reported.
The 36-year-old allegedly touched her genitalia, kissed her neck and rubbed his erect but clothed penis against her - leaving Gellert feeling "violated".
Jackson told the outlet: "My client vehemently denies that any inappropriate or non-consensual touching occurred at any time".
Borders, former president of the WNBA, who was named the head of Time's Up a year ago, says she has resigned as president and CEO of Time's Up, the gender equality initiative formed in 2018 in response to sexual misconduct allegations in Hollywood.
Lisa Borders, left, resigned as president and CEO of Time's Up "with deep regret" due to family issues.
In a Friday statement on Twitter, Time's Up-started by hundreds of Hollywood women in the wake of the Harvey Weinstein scandal-further clarified her resignation.
The lawyer provided a text exchange between Gellert and Bowden that shows she thanked him for the massage and called it "gentle and authentic and loving".
"TIME'S UP unequivocally supports all survivors of sexual harassment and abuse", the organization said in a statement.
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A source told the Times that Borders was unable to reconcile her role as a mother and as an advocate for the women's movement against sexual harassment.
Borders, who formerly served as president of the WNBA, said in a statement shared to her Twitter Monday she was "proud" of her performance and expressed remorse of resigning.
At the time of her hiring, Borders was praised by founder and Shondaland CEO Shonda Rhimes. Rather, Borders said she had to "address family concerns" that required her "singular focus".
"Our COO, Rebecca Goldman, will serve as interim CEO while we conduct an executive search".
Time's Up, in its own statement, said it was the "right decision for Lisa as well as the organization". "All of our actions were fully guided by our support for survivors".
"We remain steadfast in our mission to create safe, fair, and dignified work for women of all kinds".
Time's Up was founded in January 2018 after a number of powerful men in the entertainment industry were accused of sexual misconduct.
Lisa Borders, the CEO of Time's Up, resigned from her post this week after following sexual assault allegations against her son, the gender equality group announced.