The US publication reports that the Grammy Award winning singer and her talent agent beau recently became secretly engaged.
Gaga, 31, and Carino, 48, do not yet have wedding plans as they are focusing on the 'Million Reasons' singer's health and recovery.
Gaga suffers from fibromyalgia a disorder that causes widespread muscle pain and tenderness. She revealed the diagnosis in her documentary Gaga: Five Foot Two.
Gaga and Carino's romance was first confirmed in February weeks after the budding couple were spotted getting affectionate at a Kings of Leon concert.
This is the singer's first relationship since calling off her engagement to actor Taylor Kinney in July 2016 after five years of dating.