The 'Mad Men' actress - who has never revealed the identity of the father of her two-year-old son Xander - has a crush on the 'Diamonds' singer, and also legendary late actor Paul Newman, who died in 2008 aged 82.
Asked by online magazine Violet Grey who she would ''most want to go to bed with, dead or alive'', she replied: ''Paul Newman or Rihanna.''
January - who posed nude for a series of raunchy photographs for the publication - admitted she likes to be ''mysterious'' but also wants to ''shock'' people and allow them to form opinions of her based on her actions.
She said: ''I prefer to remain mysterious and have people make their own judgment calls about me than to always have to explain who I am and what I'm about.
''I try to take risks and shock people a little bit, it's important to provoke some sort of emotion, negative or positive.''
And the 36-year-old beauty spoke of her awe of her friend and 'Mad Men' co-star Jon Hamm.
She said: ''I think he's amazing. Very kind and generous, well read, very strong but easily vulnerable, very funny but also dark. My friend.''