But not really in the way she has been known to do with her mom, Demi Moore.
Willis and the Albert Nobbs Oscar nominee not only had dinner together on Saturday night in West Hollywood, but they were also spotted last night at People magazine's SAG Awards after party and later at Chateau Marmont.
Turns out that...
Willis is pals with Close's daughter, Annie Starke, who was also with them for the festivities.
The two became close last year when they did a month-long run costarring in the Off-Broadway hit, Love, Loss, and What I Wore, in New York City.
Back in October, Starke tweeted that she and Willis "went to the most ridiculous bar ever."
"It involved flying oompa loompas," she wrote, referring to the live entertainment of Beacher's Madhouse at the Hollywood Roosevelt Hotel.
A couple of days later, Starke tweeted Willis a photo of a Chihuahua.
Most recently, just a day before Moore was rushed to a hospital, a mutual friend tweeted them, "Dinner soon."
Starke responded, "I'm in. Name the time and the place lady."
Dinner and a party or two? Sounds perfect to us.
Especially if you're hoping to get your mind off of things for a while.