In an interview with BBC Radio Humberside, Benton said: “I don’t think we are going to get much more than another year out of it.
“It has been brilliant for the 50 or so years it has been there, and it’s certainly full of love for cricket when you go in, but you only have to walk around the back of the building to see it really is in a very, very poor state.
“It is falling apart.”
The pavilion is named after Mick Hornsby, 94, who raised £500 for its construction.
Benton said Hornsby, who started playing cricket when he was 13, was “at the heart of everything we do”.
“We want to get a new pavilion built for Mick because he is just so special,” she added.
“It’s named after him and it always will be.”