A friend of the couple revealed to Us Magazine that Brandy accepted a proposal from Press during the holiday season.
"They are thrilled and happy and Brandy feels this is so right," the source disclosed.
Brandy previously credited Press with teaching her to love again following a string of failed relationships.
"I had given up on love a long time ago. It just didn't seem to work for me, so I was single for a very long time," she told the magazine earlier this year.
"I stopped looking for love and then I ran into my boyfriend."
Brandy has offered no official comment on the engagement reports yet, but did post an image on Twitter which fuelled rumours that she is to marry.
The 'Put it Down' singer was previously in a long-term relationship with Robert Smith. They are parents to daughter Sy'rai.
Her most recent album Two Eleven reached number three on the US album chart in October. The record was her first musical project since 2008
Watch Brandy's 'Put it Down' music video below: