The 'Unapologetic' singer who already has more than 20 pieces of body art has to be certain his feelings for her are permanent before she gets his moniker etched onto her body.
A source told HollywoodLife.com: ''He would have to be her man, like her guy, and it would take time for her to feel like she's the only one he loves, the only one he thinks and dreams about.
''[She needs to know she's] the only one he wants to be with and the only one he wants to know.''
Rihanna's tattoos are meaningful to her, and symbolise an important period in her life.
She has an inking of the Goddess Isis in honour of her late grandmother, Clara 'Dolly' Braithwaite, and if she goes through with one for Drake she'd have to be in love with him.
The sources added: ''Her body means everything to her and every last one of the tattoos on her body symbolises something or someone.
''Her grandmother was her world and she got tatted under her chest symbolising her idol. If she ever put [Drake's] name on her body, that would mean that he had her heart - and that doesn't come easy.''
Before adding: ''But ... Drake's well on his way!''
Rihanna has been having her body art complete at Bang Bang Tattoos in New York City since 2007 and her most recent is a large ornate cross etched on the inside of her right wrist.
The ink-mad beauty's other tattoos include a Sanskrit prayer down her thigh and the word love on the middle finger of her left hand, and claims they all have spiritual meanings.
She said in the past: ''My tattoos are all spiritual and show how I feel about religion. I have a falcon which is an Egyptian falcon and is supposed to stand for God.''
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