The Australian singer - recently confirmed as a coach on Nine Network's The Voice Australia - visited Melbourne with Jonas in order to introduce him to relatives including her father Dennis, according to the Herald Sun.
Goodrem and Jonas were first romantically linked in May this year. She is thought to have met met Jonas's mother this summer in Beverly Hills.
The 27-year-old separated from musician and Australia's Got Talent judge Brian McFadden in April after six and a half years together. McFadden is now dating model Vogue Williams.
Jonas - who recently appeared on Tim Allen's sitcom Last Man Standing - will replace Daniel Radcliffe in Broadway musical How to Succeed in Business Without Really Trying on January 24 next year.
He will also make a guest appearance on NBC musical drama Smash in 2012.