The Forgetting Sarah Marshall star has invited his beloved mum Barbara to the October (10) ceremony but not his dad Ron, with whom he has had a strained relationship following his parents' divorce as a child.
But his father has brushed off the snub, insisting, "No one has been invited. It's going to be a very small wedding."
Ron is believed to be thrilled his funnyman son has found love after a string of girlfriends.
A source tells Britain's News of the World, "He respects Russell's wishes and never wants to cause him any grief. He's glad he's found the woman he wants to settle down with. Of course he would like to see his son get married but he is respectful of the situation."
The couple plans to fly a select group of friends and family members to watch them exchange vows in India, where Brand proposed to the singer in December (09).