If this is a different artist, that is not possible unfortunately. This is due to the fact that they need to give Spotify permission to support their music; and if they haven't given the permissions Spotify can't have the music on their servers. It's all down to the record label really.
Please bear in mind that the Community is not an official Spotify support service. It's a place where we all help each other, whether we work for Spotify or not. So please use your discretion when using the forum.