The 18-year-old singer and the Australian popstar were linked shortly after it was announced that she and ex-fiancé Brian McFadden had split up in April.
According to X17 Online, Nick took Goodrem to Beverly Hills restaurant Villa Blanca, where they enjoyed a meal with his mother Denise and younger brother Frankie.
As they left, Nick apparently bought Goodrem a rose and helped her into their car first.
Nick - who is currently working on his solo career - later tweeted: "I feel so blessed. Had a great weekend."
Goodrem split from McFadden in April after a six-and-a-half year relationship because they had "grown apart".
A statement released by their publicist at the time said: "Delta Goodrem and Brian McFadden regretfully announce that they are no longer engaged, and after much consideration, have mutually decided to end their relationship."