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Prince Harry

Don Arnold/WireImage

The next time Prince Harry flies back to the U.K., he'll have a stuffed koala bear tucked in his luggage.

Or he should! That would be adorable.

After taking a short leave from his temporary embed with the Australian Defense Force, Prince William's younger brother was scheduled to head back Down Under on Monday. When his Australia assignment was first announced, it was assumed he wouldn't be in town for the birth of William and Kate Middleton's second child—but his brief trip home gave him another shot at being around to meet his new niece or nephew upon arrival.

Alas, Kate remains pregnant and, by all reported accounts, is overdue.

Harry is not expected back in the U.K. until mid-May. He had traveled to Turkey for the Gallipoli centenary commemorations (William laid wreaths with Queen Elizabeth II and Prince Philip on Saturday, also in commemoration of the same World War I campaign) and then was in town Sunday to present medals at the London Marathon.

Kensington Palace confirmed that he was privately flying back to Australia today.

The 30-year-old royal is due to spend time with Australian Army units in Perth and Sydney before embarking on an official tour of New Zealand from May 9 to May 16. William and Kate memorably toured Australia and New Zealand last year with Prince George, who will become a big brother any day now...

Prince William, Kate Middleton, Prince George

Chris Jackson/Getty Images

Speaking of which, a source told London's Telegraph that Kate will likely be induced this week, provided she doesn't go into labor on her own.

"The doctors don't normally wait for more than a week," said the source, whose children were born in the Lindo Wing at St. Mary's Hospital, where Prince George was born and his sibling is expected to follow suit. "They will probably already have been in touch with Kate and talked about which day would suit her best to go in and be induced if the baby doesn't arrive in the next couple of days."