The magazine did not mention the baby's sex or anticipated due date.
Brown and Etheredge have been married for two years. They are already the parents of a 5-year-old son named Cassius.
The R&B singer has four other children from previous relationships.
Bobbi Kristina Brown, his 21-year-old daughter with his late ex-wife Whitney Houston, is currently on life support in an Atlanta hospital. She was found face-down and unresponsive in a bathtub last Saturday morning. The circumstances of her medical emergency remain under investigation.
Houston accidentally drowned in a hotel bathtub nearly three years ago. She was 48.