Fans of Beyonce don't seem to mind paying the nearly $18 price tag for her new album "Lemonade."

The artist's latest album, which debuted in a one-hour special on HBO over the weekend, has seen a relatively small amount of pirating, according to TorrentFreak, a file-sharing and copyright website.

The site, which first reported the surge of illegal downloads of Kanye West's album "The Life of Pablo" in February, noted that they are not tracking Beyonce's album, as "it's definitely not as popular as Kanye's release," a spokesman told CNBC.