His father, Prince William, is planning a trip to New York in December

By Simon Perry
Updated November 09, 2014 09:30 AM
Credit: Marty Melville-Pool/Getty

Is Prince George coming to the Big Apple?

When PEOPLE reported last month that Prince William was planning a trip to New York City, there was merely a possibility that his pregnant wife Kate would be joining him.

That is now an increasing likelihood. And, it’s even being suggested by the U.K.’s Mail on Sunday that the couple may bring their son George along for the December trip.

However, palace officials have not confirmed any of this and point to the fact that the trip has not yet been formally announced.

“Any overseas visit will be announced in the usual manner in due course,” a palace spokesman says.

When news of William’s trip was first reported, Kate was still suffering from severe pregnancy sickness. But because she had missed many engagements, including a short tour to Malta, there was a feeling that she might go with her husband to New York, as palace sources were keeping an “open mind” about her involvement.

“It had been thought that it might be just for him but then she missed Malta. If she is able to go and support him and show her support for an overseas trip, then it might be on,” a royal source has told PEOPLE.

Following her flight to Scotland last month and helicopter rides back and forth to Wales Saturday, it’s clear Kate is able to travel much more easily.

And though Kate has bounced back with her public royal duties, she still gets tired – William revealed she was feeling a little “under the weather” on Saturday, when they were at the rugby international.