July 08, 2015 02:15 PM

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Evan Ross is one excited dad-to-be!

At a party celebrating his upcoming debut album held Tuesday at the Kia Beach House in Malibu, the Hunger Games star gifted his wife Ashlee Simpson with her push present: A limited-edition Chanel Graffiti Messenger 2015 Green Cross Body Bag he purchased from Maxfield.

“He brought it out to the deck and gave it to her in front of her family and friends,” a source tells PEOPLE. “She was so surprised. Her dad Joe loved it and gave Evan a pat on the back.”

Simpson, 30, was a late arrival at the Gevalia Iced Coffee–sponsored bash but “was smiling all day” once she arrived, adds the source.

“I’m so excited. I can’t wait. We’re getting the nursery ready right now,” Ross, 26, told PEOPLE last month about becoming a father. “I’m just taking care of [Ashlee]. That’s my job right now.”

The newlyweds have also already picked out a name for their daughter, but they are keeping it under wraps until she’s born.

“It’s unique,” Ross hinted. “You guys will figure out the story behind it once we tell the name.”

— Melody Chiu
Follow @chiumelo

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