Over 129,000 fans have signed up to the Facebook group in support of the Golden Girls star, Popeater reports.
In a letter to Saturday Night Live creator Lorne Michaels, the group's leader David Matthews urged him to consider the 88-year-old actress.
"What would it take to get you to invite Betty White to be a guest host on SNL?" he wrote. "She is brilliant, funny, witty and a comedic genius and legend. I have little doubt that it would be a ratings hit."
White was recently honoured for her lifetime achievement at the Screen Actors Guild Awards.