She suggested a sleepover option as she spoke to reporters before the White House Correspondents Garden Brunch in Georgetown on Saturday morning.
Douglas is in Washington for her first White House Correspondents' Association dinner, which takes place Saturday night. She was in the capital in November with her fellow gymnasts, known as the Fierce Five, to visit Obama at the White House.
At the time, they all signed leotards to give to the Obama girls as gifts.
Douglas, who admitted indulging in chocolate-covered strawberries during her visit, said she starts training for her next Olympics in May.
Follow The Hill's In The Know columnist Judy Kurtz (@JudyKurtz) and Features Editor Emily Goodin for (@Emilylgoodin) this weekend for live updates from the White House Correspondents' Association dinner and related parties.