"Obviously family is very important to them and they are speaking to everyone, but they don't have to see the Queen," a royal source tells PEOPLE

By Simon Perry
May 04, 2015 08:00 AM
Neil Mockford/GC Images

The little princess may be nameless a little while longer.

Princess Kate and Prince William are still mulling a name for their newborn daughter. The royal parents are “talking it through with their family,” a royal aide tells PEOPLE.

While bookmaker William Hill says Alice is back in top spot, the couple is content to keep people guessing.

The new parents and their two children are spending a quiet morning at their residence in London’s Kensington Palace, where they had a stream of high-profile visitors Sunday.

Despite widespread speculation that they are required to see great-granny Queen Elizabeth and tell her the name in person, a well-placed palace source says there is no protocol for that.

Accordingly, they will not necessarily drive to Sandringham Monday in order to see her there, PEOPLE understands. News could come as soon as later Monday afternoon, U.K. Time.

“Obviously family is very important to them and they are speaking to everyone, but they don’t have to see the Queen,” the source says. “They will see people when they see them.

“They had the family around yesterday. They will continue to discuss things and when they’re ready to make a decision there’ll announce it.”

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