The Aussie icon is up for del Toro's first film as director since "The Shape of Water."
The two will share joint custody of their daughter Lea de Seine.
'Bachlorette' Hannah Brown can be a woman of faith who is also sexual.
Lady Gaga's Ex Christian Carino Likes Irina Shayk's Swimsuit Photo
Bradley Cooper 'Emotionally Absent' During A Star Is Born: Source
Bradley Cooper and Irina Shayk Split After 4 Years Together
Cooper won't go out on a live tour to sing the beloved tracks from his Oscar winner, but he is interested in an alternative option.
Bradley Cooper Wants to Do 'A Star Is Born' Live with Lady Gaga
The singer took home the Best Original Song trophy for her duet "Shallow."
The "A Star Is Born" duo had only performed the song together live once before.
Listen to "Shallow" before the Bradley Cooper-directed film hits theaters next week.
The pop diva offered words of praise for co-star Bradley Cooper, too.