Sturridge, 26, had Marlowe strapped securely to his chest in a baby carrier while sitting at the table reading a newspaper. Miller, 30, checked on her sleeping daughter between bites. The couple both wore sunglasses during breakfast, and Sturridge also wore a hat.
The British stars have been dating for over a year and Marlowe is the first child for each.
Us Weekly spoke with the new mom earlier this month via telephone at HBO's Summer Television Association panel in Beverly Hills. "She's so cute," The Girl star said of Marlowe. "She's screaming upstairs. My brain doesn't work."