Bradley Cooper got the ultimate compliment when he went on The Ellen DeGeneres Show for his first sit-down interview since welcoming a daughter with model Irina Shayk.

The 42-year-old actor didn't want to talk about being a new dad but the daytime talk show host managed to make mention of the big news. "I don't know if you know this but you have a baby," DeGeneres quipped. "Just gonna let you know you have a baby."

"What!" Cooper replied.

WATCH: Bradley Cooper's Girlfriend Irina Shayk Poses in Bikini Less Than a Month After Giving Birth

Later on in the interview, DeGeneres made mention again to Cooper being a father before playing a clip of him from American Sniper when he worked with a fake baby. "I know you don't want to talk about the baby. I just want to say that I knew you would be a good father when I saw you in American Sniper," she joked.

While Cooper didn't talk about his personal life, he did chat about directing and starring in A Star Is Born with Lady Gaga, admitting that he finds it "so hard" to sing. "I've really been awakened to the phenomena of singing," he shared. "I just hope I can be believable enough so that you can watch Stephanie (Gaga) ...just shine because she's incredible."

PHOTO: Lady Gaga and Bradley Cooper Share a Smooch on A Star Is Born Set

Cooper and Gaga started filming A Star Is Born near Palm Springs, California, following the pop star's performance at the Coachella Valley Music and Arts Festival last month. "I am so excited to star in my first movie alongside someone I'm so lucky to call my friend. I always wanted to be an actress on the big screen," Gaga posted to Instagram, along with a photo of herself and Cooper in character. "The story of A Star is Born is so special and I'm so grateful to Bradley for making my dream come true. Can't wait for you to meet Ally. She has her first scene in five..."

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