And Gaga apparently wants to keep the romance under wraps. “Matthew and Gaga have been seeing each other for months. She gave him the nickname Dada and is very comfortable with his baby boy," News of the World quoted a pal as saying. "When they first went out it lasted for about 12 months. But she was so focused on music that she knew it wouldn't to work out. Over the last year they've got close again and have been on a number of dates. The feelings they had never disappeared. Her priority is definitely still work. She shows a softer side when she's with him," the pal added.