If confirmed, the 31-year-old will be the first African-American female to be the main character in the hit franchise.
US publication Entertainment Weekly has reported the news, but Sonequa and CBS Television Studios, who are making Star Trek: Discovery, are yet to comment.
She is believed to be playing a lieutenant commander on the show, which will make this the first time a Star Trek show hasn’t focused on a starship captain.
It is unclear whether the new gig gives a potential glimpse into the fate of her character on The Walking Dead.
Star Trek: Discovery will also include the series’ first openly gay character, a fellow lieutenant played by Anthony Rapp.