"They are thrilled and happy and Brandy feels this is so right," an insider told the celebrity magazine.
The former Moesha star has a 10-year-old daughter, Sy'rai, with her ex-boyfriend Robert Smith, but has never been married.
UsMagazine.com did not say when she and Press plan to tie the knot.
2014: Pregnant Celebrities [PHOTOS]
'True Detective' adds Kelly Reilly