The couple, who got back together after splitting four years ago, hasn't however set the date for their special day, reported People magazine.
The singer, who recently got re-engaged to Hemsworth, is already "fantasising about their wedding," a source close to her said.
"They don't have a date. They are moving surprisingly slowly. Miley seems to have matured a lot. In the past, she tended to rush things. She acts much more calm and happy now," the insider said.
Hemsworth, 26, first proposed to Cyrus in 2012, but the couple later split the next year.
"Liam is staying with Miley at her new Hidden Hills house. He has been filming Independence Day: Resurgence. When Liam is off, he and Miley have spent time together at home."
The source added, "They haven't been out in public, because Liam doesn't like the paparazzi chaos," the insider said.
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