Enter songwriter Diane Warren. Warren had already written hit songs like “If I Could Turn Back Time” by Cher, “Because You Loved Me” by Celine Dion, and “How Do I Live” by LeAnn Rimes when she was tasked to write a song for “Armageddon” (via Smooth Radio). According to The Ringer, Warren was watching an interview with Barbra Streisand and her then-fiancé James Brolin when she got the idea for the song. As the story goes, Streisand said Brolin didn’t want to fall asleep one night because he would miss her. Warren wrote down “I Don’t Want to Miss a Thing” as a future song title (something she says she does a lot).
When director Michael Bay asked her to write a pop ballad for the film, she was shown the end and wrote the song using the interview as inspiration (per NME). Warren’s first thought was that the song should be sung by a female vocalist, later saying she had a diva like Celine Dion in mind. Then she heard Steven Tyler singing it. Warren said it was powerful and a million times better than she expected it to sound like. The song was later nominated for an Oscar and since its 1998 release, she has consistently praised the song. As for, Aerosmith they say that they don’t mind that their biggest hit was written by somebody else.