Kate Middleton Health Update: She's 'Doing Well,' Kids Have Yet to See Her in Hospital

The mother of three is recovering after undergoing abdominal surgery.

As Kate Middleton's recovery continues following her abdominal surgery, the Princess of Wales has yet to see her three children while in the hospital, ET has learned. 

A source tells ET that Princess Kate is "doing well" following her second night in the hospital.

Kensington Palace announced on Wednesday that Kate was recovering from a planned abdominal surgery and would likely be in the hospital for 10 to 14 days followed by a lengthy recovery period back at home. 

The source tells ET that Prince William was with the couple's children -- Prince George, 10, Princess Charlotte, 8, and Prince Louis, 5 -- last night. 

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"They've been in school and haven't seen their mother yet," the source adds. 

Prince William was spotted leaving The London Clinic on Thursday, driving away with a security detail after visiting his wife in the hospital. 

Another source also told ET that Prince William has canceled several engagements to be at his wife's side.

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"Based on the current medical advice, she is unlikely to return to public duties until after Easter," Kensington Palace previously shared in a statement.

ET understands that the undisclosed issue was non-cancerous. 

The palace has not clarified the exact reasoning behind Kate's surgery or hospitalization, noting that the princess plans to keep those details private. The palace also noted that it will only provide details on Kate's medical condition moving forward if the information is "significant."

Hours after Kate's announcement, William's father, King Charles III, also announced via Buckingham Palace that he too has been hospitalized for treatment for an enlarged prostate. 

"They're not going to give any running commentary on Princess Catherine's health, but I think it's worth pointing out that it's quite unusual that we've been given so much information, and this is a breach of real royal protocol. It is unusual," royal expert Katie Nicholl tells ET. "I suspect this is to quash any speculation and, of course, there are going to be wild rumors circulating all over social media. And I think this is the palace's way of trying to control some of that narrative."

Nicholl noted that the lengthy recovery time for Kate indicates that the procedure has been "a serious operation." 

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