The singer is not interested in wearing a George At Asda wedding dress, reported the Sun online.
The 26-year-old singer asked the fashion designer to create a gown made with black and gold silk with diamonds sewn into the bodice.
Gaga has also asked for a removable skirt and a train which can be converted into another gown for the ceremony.
"Gaga's spending millions on her wedding to Taylor Kinney and Donatella Versace's designing a typically over-the-top dress which on its own will cost thousands," the source said.
Gaga is tipped to be tying a knot with her longtime boyfriend this summer.
The couple wants to tie the knot in New York so that Gaga's grandmother Angelina Germanotta can attend the wedding ceremony.