She was listed in good condition at Flower Hospital in Sylvania, Ohio, but would remain overnight, said hospital spokesperson Colleen Grubb.
Alcott was inducted into the World Golf Hall of Fame in 1999. She has won 29 LPGA events, including five majors, in her 27-year career.
The 45-year-old Alcott said earlier in the week that she was cutting back on her schedule. This was just her seventh start of the season.