The supermodel, who is marrying boyfriend Jamie Hince on July 2, wants the rapper to play a set as part of her plans for a mini festival-style celebration.
A source told the News of the World: "Kate's seen Snoop at loads of festivals and she really wants him at her wedding. They've had talks and Snoop loves the idea of performing."
She is also hoping that Led Zeppelin will reform for the event. The source added: "Kate really wants the remaining members of Led Zep to perform on her big day. It will be an incredibly tough ask but she is keeping all her fingers crossed."
Guests at the ceremony will include fellow model Naomi Campbell, Sadie Frost and Jude Law.
Moss recently revealed that she cried while watching the royal wedding.