Dorchester’s mayor, Les Fry, proposed approving the plans at a Dorset Council planning committee meeting on Tuesday.
Poundbury resident James Honeychuck, who submitted the application, suggested one side of the plinth was used for a poem, to be composed by the Bard of Dorchester.
Supporters of the scheme include Lorna Dannerberg who lives in Scotland and holidays in Weymouth.
She told Dorset Council: “We come into Dorchester especially to see Susie.
“She has become a wonderful ambassador to the town.”
California resident and online follower Jacqueline Londhair also wrote in support, telling the council: “Although I will probably never meet Susie in person, she brings such joy to me and others around the world every day.”
Susie moved to Dorchester with owners Linda and Michael Crow when they came to stay with Graves, their daughter, in 2023.
After receiving multiple calls from people believing she was lost, they changed her name tag to say ‘Susie – not lost, just adventurous’.
Facebook followers share sightings of the cat, which also features in a children’s book, postcards and a calendar, raising thousands for charity.