The first family is waiting "with anticipation" for the birth of Prince William and Catherine, the Duchess of Cambridge’s baby, White House press secretary Jay Carney said Monday.

"The entire first family wait with anticipation for the birth of the duke and duchess's child," Carney told reporters, adding that the president wished "the family and all of Great Britain well on this pending momentous occasion."

Carney played coy when asked what the Obamas might give the royal family as a baby gift — or whether such a present was forthcoming.

"We'll see," the press secretary said with a grin.

Kensington Palace said Monday that Catherine had gone into labor. She and Prince William travelled to St. Mary's Hospital early in the morning.

The baby's title will be His or Her Royal Highness Prince or Princess of Cambridge and will be the third in line to the British throne.