You'll need to claim your profile through Spotify For Artists. Once claimed, your Spotify Artist Profile will become verified. Here's how you can go about claiming the profile:
Click “Claim Profile” and login with your Spotify account.
When prompted, select whether you are an Artist or Manager and enter your artist name. Click your artist name once you see it and continue.
You will be brought to a form to connect your social media and to enter some contact information as the account holder. Please fill this out as accurately as possible as it helps Spotify identify you.
Spotify will review your application and will email you within a few weeks with an update.
It will take a few days for Spotify to verify your request. If you have any problems, please reach out to Spotify's support. In most cases, SpareMusic can't help you with artist verification.