The chart-topping star then invites Lisa to her studio for a recording session that she'll never forget.
"When Billie Met Lisa" will be the fourth in a collection of shorts created exclusively for Disney+. Previous productions included Maggie Simpson in "The Force Awakens from Its Nap" and "The Good, The Bart, and The Loki".
The most-recent was "The Simpsons in Plusaversary", which was released on Disney+ on November 12.
In March, Eilish won the Oscar for Best Original Song for her James Bond theme song.
The singer subsequently revealed she was desperate to impress actor Daniel Craig with her "No Time To Die" song.
She shared: "[Daniel Craig] is the sweetest man alive, and I just wanted him to love it.
"I wanted him to feel like it represented his years [as Bond] and his last film. I wanted him to be happy most of all. I mean come on, he's James Bond."
Eilish was initially "intimidated" by the task of writing a Bond theme.
The music star is a long-time fan of the film franchise, and she described making the record as an "amazing experience".
She said: "[I was] scared. Very intimidated. But we've looked up to the music in the Bond franchise for pretty much as long as I can remember.
"It's so weird, there was no confusion at all about Bond and the music.
It's been such a big part of our lives for so long that the fact that we were involved at all was unbelievable, and the approach was very exhilarating, and peak life, and also scary."
