The singer's XL Recording label is not making 25 available on streaming platforms when it is released on Friday.
It is unclear if the album will appear on Spotify or Apple Music in the future.
The move means listeners will have to download the album, or buy it in the shops, driving up sales.
The album is predicted to sell more than one million copies in its first week.
The first single from the record, Hello, broke download and viewing records when it was released last month.