First it was Camilla hinting that the royal baby will be here by the end of the week. Now, it’s Queen Elizabeth who’s gently nudging mum-to-be Kate, who is expected to give birth any day now.

The 87-year-old monarch was talking to children in Cumbria in northern England, when she was asked if she hopes the royal baby will be a boy or a girl. “I don’t think I mind,” she said, before telling the children, “I would very much like it to arrive. I’m going on holiday. No sign yet.” (The Queen heads to her Balmoral estate in the Scottish highlands at the end of next week.)

But while her family – and the rest of the world, it seems – hang on for baby news, the couple at the heart of what’s been dubbed the #GreatKateWait on Twitter try to remain cool and calm as temperatures rise amid a London heat wave.

Kate is understandably nervous – “tentative,” a source tells PEOPLE – about giving birth.

Royal Baby Queen Elizabeth Kate Middleton Delivers


She and Prince William, who’s taken time off work as a helicopter rescue pilot, are spending these final days at Kate’s parents’ home in Bucklebury, according to a source, as well as at Nottingham Cottage in the Kensington Palace compound in London.

“It’s hot wherever you are – it’s the same if you’re in Bucklebury or London,” the source says.

“It’s not tiny,” the source adds of the couple’s two-bedroom digs in London, and there’s plenty of space to pass the time before the couple head to St. Mary’s hospital in nearby Paddington when the time comes.

Until then, the waiting game continues.

— Simon Perry