The cover, which dubs Louis-Dreyfus as "The First Lady of Comedy," is a nod to her character as vice president Selina Meyer in HBO's political satire Veep, a role that the 53-year-old actress considers a "pleasure."
"Once, when we were trying to come up with the particular perfect, horrible, swear-y thing to say in Veep, I said, 'You do realize that if we were 12, we would get in big trouble for this conversation,'" Louis-Dreyfus told the magazine. "That was not part of the curriculum in high school, and the fact that it is now a part of the curriculum of my life is a pleasure, which is the understatement of the universe."
More about Louis-Dreyfus will be revealed when the new issue of Rolling Stone hits stands on Friday.
Celebrity Families of 2014 [PHOTOS]