The Hollywood couple - who welcomed twins Knox Leon and Vivienne Marcheline into the world on July 12 - have six children, but are determined to continue expanding their brood.
A source said: "Angelina wants one more baby naturally - even if they end up having twins again. Twins would be wonderful. A dozen kids would be their dream."
It was recently revealed Brad and Angelina have asked U2 frontman Bono to be godfather to their new babies after staying at his house in the South of France.
A source said: "Brad and Angelina think the world of Bono. They have been friends for years. Brad is a massive U2 fan and told Bono how much he admired him when they were introduced at a party a few years back. Since then, they've become very close, which Brad is thrilled about. Angelina is inspired by Bono's humanitarian work and gets on with his wife Ali Hewson."
Bono was said to be so "thrilled" by the offer he accepted immediately. As well as the twins, Brad and Angelina have three adopted children - six-year-old Maddox, four-year-old Pax, three-year-old Zahara - and two-year-old biological daughter Shiloh.
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