The Queen Bee is a big fan of the hip-hop music industry drama and its star Taraji P. Henson - who plays reformed drug pusher and show matriarch Cookie Lyon - thinks a guest appearance from the singer would ''break the Internet''.
Taraji explained how Kim had direct messaged her on Twitter to ask about a guest role after learning she was Cookie's hero.
She added: ''I was like, 'Trust me girl, I'm working on it.' That would break the internet.''
If Kim does get a guest role, she will follow in the footsteps of Courtney Love and Naomi Campbell and Taraji was particularly impressed by the supermodel.
She said: ''She was pretty down-to-earth. I complimented her on her shoes and, two days later, a pair arrived for me. But she didn't tell me where she got that hair from! That's all right Miss Naomi, I understand girl!''
Taraji admits she is stunned by some of the topics covered in the daring drama, which was created by Lee Daniels.
She told Grazia magazine: ''When I read the script I couldn't believe a prime-time network was going to put it on TV.
''When we began filming, Lee would say, 'Oh my God, what are we doing?' And I'd reply, 'I don't know, but I'm glad to be part of it.' ''