The Prince's arrival will see Prince Harry move down the line of succession from third to fourth place.
Harry, who has admitted he gets regular nudges from his father reminding him to act more like a prince, is unlikely to mind the downward shift.
The Prince's great-uncle the Duke of York was originally born second in line to the throne, but now will soon drop from fourth to fifth place.
With the Cambridges seen as pivotal to the modern monarchy, Andrew’s role has changed in recent years.
During the Diamond Jubilee river pageant, the Duke sailed down the Thames on the Havengore with his daughters, the Earl and Countess of Wessex, the Duke and Duchess of Gloucester, Prince and Princess Michael of Kent and other dignitaries.
Those at the very top of the line of succession including the Duke of Cambridge joined the Queen on the main royal barge the Spirit of Chartwell.
Andrew was also absent from the Buckingham Palace balcony for the flypast. In 2012 the Queen was joined by only the top three in line and their wives - Charles and Camilla, William and Kate, and Harry.
In 2002 for the Golden Jubilee, 20 members of the Royal Family took to the famous frontage including Andrew.
The birth of Cambridges’s baby will mean that Princess Beatrice and Eugenie move down to sixth and seventh place in line to the throne.
This could impact on whether it will be appropriate in the future for the princesses to take on public royal roles.
Beatrice and Eugenie previously faced criticism over the use of taxpayers’ funding for police protection, but the Duke of York now pays for their security himself.
New list of succession when William and Kate's baby is born:
1. The Prince of Wales
2. The Duke of Cambridge
3. The Duke and Duchess of Cambridge's baby
4. Prince Harry
5. The Duke of York
6. Princess Beatrice of York
7. Princess Eugenie of York
8. The Earl of Wessex
9. Viscount Severn
10. The Lady Louise Mountbatten-Windsor
11. The Princess Royal
12. Peter Phillips
13. Miss Savannah Phillips
14. Miss Isla Phillips
15. Zara Phillips
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