The unnamed woman, who has filed her legal claim in California, says she "was panicked and terrified" at the time, in a bathroom at a TV studio.
Her lawsuit comes days before the US star is due to join other rap giants on stage at the Super Bowl half-time show.
Snoop has denied the claims, according to TMZ, and wrote on Instagram that "gold digger season is here".
The woman, who is described as a dancer, model, host and actress, says Snoop burst in on her when she was feeling unwell, and forced her to perform oral sex.
'Pressured by his power'