Broccoli, who has worked on the Bond series since 1983's Octopussy, revealed that Adele read the whole Skyfall script before taking on the song of the same name.
"She spent a lot of time working on it and getting it right," Barbara Broccoli told People. "But she was worth the wait."
'Skyfall' was released on October 5. It has already reached number four on the UK singles chart and is on course to make its Billboard Hot 100 debut later this week.
Adele previously confessed that she was hesitant about recording the theme song for the new Bond film.
"There's a lot of instant spotlight and pressure when it comes to a Bond song," she explained.
"But I fell in love with the script and Paul had some great ideas for the track and it ended up being a bit of a no-brainer to do it in the end."
Meanwhile, a source told People that Adele is "totally laying low and nesting" ahead of the birth of her first child.
Listen to Adele's 'Skyfall' in full below: