The bombshell book shared various new claims and accusations about the royals, particularly taking aim at King Charles, Prince William and Queen Camilla.
Speaking of Brooklyn, the Daily Mail has now reported that a deal is “firmly in play”.
Spare, which was released by Penguin Random House, sold more than 467,000 copies in its first week in the UK and became the fastest-selling non-fiction title in history.
A source has said: “He’s seen how well the book did for Harry. Same publisher. Same idea of finally telling your truth. That’s not a coincidence.”
David and Victoria are said to be aware of what is at stake, having seen the fallout between Harry and his family.
The source added: “They know they have to be careful. If they push him, if they deny it publicly or hit back, it only makes him more inclined to go further.
“They’ve learned from the mistakes of others. This is a game of chess.”
The Duke of Sussex’s feud with his family escalated following his exit from royal duties in 2020.