Grossberg's lawsuit, filed in Manhattan federal court against Fox News in March, also names both Carlson and one of his top producers, Justin Wells, as defendants.
Their removal from Fox News, however, doesn't mean they can escape scrutiny in the lawsuit, Grossberg's lawyer Tanvir Rahman told Insider.
Grossberg's lawsuit was one factor in the decision to fire him, according to the Los Angeles Times.
Grossberg's lawsuit alleges she experienced a hostile environment while working as a producer for shows hosted by Carlson and Maria Bartiromo.
Fox executives derided Bartiromo with sexist terms, calling her "menopausal," "hysterical," a "diva," and a "crazy bitch," Grossberg's lawsuit claims.