"After a difficult time, Princess Michael is on the mend,” her spokesperson Simon Astaire told PEOPLE on Monday.
The royal, who is married to Queen Elizabeth's first cousin, Prince Michael of Kent, added that at the height of the illness, she had a “fever and was suffering from fatigue."
"Hopefully she is past the worst now,” the friend continued.
Princess Michael's diagnosis was first reported by The Sun, which said that she caught the virus from a housekeeper who suffered from mild symptoms.
Neil Mockford/Alex Huckle/GC Images Prince and Princess Michael of Kent
As soon as she tested positive, Princess Michael, 75, went into self-isolation inside the couple's home at Apartment 10 of Kensington Palace and sent her staff home to prevent the virus from spreading further.
Her husband Prince Michael, 78, fortunately, didn’t contract the illness. Meanwhile, her children, Lady Gabriella Windsor, 39, and Lord Freddie Windsor, 41, also have not seen the princess since her diagnosis and are clear of the virus.
The royal has also not seen Queen Elizabeth, 94, in recent weeks, PEOPLE has confirmed.
Princess Michael with her husband and daughter, Lady Gabriella
"It really knocked him for six," a source told the paper. "At one stage he was struggling to breathe, so obviously everyone around him was pretty panicked."
William was seen by royal doctors at his country home, Anmer Hall, and didn’t need to visit the hospital. Neither his wife, Kate Middleton, nor their children, Prince George, 7, Princess Charlotte, 5, and Prince Louis, 2, contracted the illness.
Kensington Palace Prince William and Kate Middleton
The 71-year-old and his wife, Camilla, Duchess of Cornwall, then isolated at Birkhall, their home on the Balmoral estate in Scotland.
A Clarence House spokesperson confirmed that the Prince of Wales displayed "mild symptoms," in a statement, adding that he continued "working from home” throughout his quarantine period.
“There is a sense of keeping calm and carrying on," a palace source told PEOPLE at the time.
Jonathan Brady/Pa/Getty Princess Eugenie is expecting her first child with husband Jack Brooksbank
Can't get enough of PEOPLE's Royals coverage? Sign up for our free Royals newsletter to get the latest updates on Kate Middleton, Meghan Markle and more!
In May, the princess was told to "prepare for the worst" after her father-in-law, George Brooksbank, 71, was hospitalized with the virus. Brooksbank spent nine weeks in hospital — including five weeks on a ventilator — until he finally recovered following a tracheotomy operation.
"I certainly owe them my life," he told The Telegraph shortly after his release from the hospital while going on to praise the "absolutely magnificent" care he received within the U.K.'s National Health Service.