The Merseyside outfit announced yesterday that they plan to expand their home ground's capacity as opposed to building a brand new stadium.
"There won't be a naming rights deal for Anfield," the Liverpool Echo quotes Ayre as saying. "It was only something we looked at when we were assessing the option of a new stadium.
"Naming rights was a difficult process but we weren't without our suitors. We have had and still have interest around it. A new stadium would never have happened without it but that was only one part of it."
The redevelopment will reportedly cost up to £150m to complete.