Prince William shared a positive update about his wife Kate Middleton, who is receiving cancer treatment, during his latest engagement at a hospital.

The Prince of Wales, 41, briefly spoke about Kate and their children Prince George, 10, Princess Charlotte, 9, and Prince Louis, 6, upon arrival at St. Mary’s Community Hospital in the Isles of Scilly on Friday, May 10, when a staffer asked about his family.

“May I ask how Princess Kate is doing?” hospital administrator Tracy Smith asked in a video shared by Sky News.

“She’s doing well, thank you,” the royal replied.

“Lovely, and the children as well?” Smith asked.

“The children are very jealous that I’m here and that they’re not here as well,” William admitted.

The Isles of Scilly are known to be a favorite getaway for the Prince and Princess of Wales and their kids, and the royal couple has previously been spotted biking around Tresco. Vacationing on the isles off the southwest tip of England continues a tradition for William, as he spent time there as a boy with Princess Diana, King Charles and Prince Harry.

“Will you bring them later in the year, maybe?” Smith continued, referring to the royal children, and Prince William mentioned that they might spend time there privately.

The island of St. Mary’s welcomes about 100,000 visitors each year, and Prince William visited the local hospital to learn more the challenges of providing health care in an island setting and plans for a new integrated health and social care facility set to be built built on nearby land owned by the Duchy of Cornwall, the $1 billion estate he inherited upon the death of Queen Elizabeth in September 2022. William’s visit to the Isles of Scilly began with a stop at St. Mary’s Harbor, where he reportedly picked up pastries for Kate, George, Charlotte and Louis!

“What’s selling quickest this morning?” the Prince of Wales asked at On the Quay cafe before buying five Cornish pasties, a savory local treat filled with beef and vegetables.

William also mentioned his children’s envy that he was in the Isles of Scilly while speaking with well-wishers at the harbor. The royal revealed that he went for a morning swim and said he wished he could stay longer, but had to get home for his family.

“My family are very upset I’m here without them,” he said, the Daily Mail reported. “The children will kill me if I don’t go home later.”

Friday marks the final leg of Prince William’s two-day work trip to southwest England, his first such away since Princess Kate made the public announcement about her health on March 22. William cleared his calendar and postponed forward-facing engagements to be by his wife’s side following her announcement, which may have been strategically timed to George, Charlotte and Louis’ break from school.

King Charles’ elder son has gradually resumed public duties after his kids were back in the classroom, but a close source tells PEOPLE that William is totally focused on his wife.

“William is prioritizing giving her all the time she needs to get better and the support, particularly to the children,” a close source says in this week’s exclusive cover story.

“For William, everything hinges on Kate’s well-being,” adds royal biographer Ingrid Seward, author of My Mother and I.