Li was on uneven bars — her specialty — when she fell Tuesday. USA Gymnastics said Wednesday Li passed all tests and is fine.
Li is one of three U.S. alternates training in Birmingham, about two hours northwest of London. The 23-year-old is the oldest of the eight U.S. team members.
The women's team competition begins on Sunday, with teams required to set their rosters by Friday. It wasn't immediately known whether the incident would affect Li's availability.