Science fiction website Scifind has named the Great British Bake Off host as its pick to be the first female Doctor.
The site has asked its supporters to use Twitter and other social media to promote the idea.
Its mission statement reads: "Scifind knows that Sue is a bit of a fan girl with scifi. When she realised her name was taken for a Block in 2000AD she couldn't contain herself.
"We feel we need to give this a little push to happen. We would love to use the power of TWITTER to make this happen."
Perkins has since thanked the website for its campaign, saying: "Beyond flattered. SERIOUSLY."
One fan tweeted: "Any female Doctor would be amazing but Sue Perkins especially. Pls make it happen. #DoctorSue."
Another wrote: "Sue Perkins would make the most sensational #DrWho Time to do it!"
The BBC's controller of drama Ben Stephenson has said that Doctor Who's upcoming 50th anniversary will be an international event.
Doctor Who will return to BBC One with new episodes from March 30.
Watch a trailer for Doctor Who's new 2013 episodes below: