The 93-year-old monarch was rushed to Windsor Castle.
There are plans in place to quarantine the Queen and Prince Philip, 98, at their Sandringham estate if the outbreak worsens.
A royal source told The Sun: “She is in good health but it was thought best to move her. A lot of her staff are a bit panicky over coronavirus.
“The Palace hosts a constant stream of visitors including politicians and dignitaries from around the world.