The JSCPA is searching for a new home after more than 100 years on St Saviour's Road.
The charity is appealing for help from the community to make the move possible.
Pam Aubert, CEO of the JSPCA, says this may include identifying potential premises, offering temporary facilities, donating materials or services, contributing to relocation costs, or helping to raise awareness of the appeal.
She says they are imagining a space that will help ensure that animals continue to receive shelter, food, veterinary care, rehabilitation and the chance of a loving new home, whilst also meaning the charity can generate income from the facilities on the new site - something that is not possible with the present one.
It would also include space and visitor access for an education centre, as well as a charity shop, cafe and retail shop.
Pam told Channel 103:
"We need to future-proof the charity and have the space to do that, but we also need to find an opportunity to build new, state-of-the-art animal welfare facilities.
"We're putting a call out (for help). People have adopted from us, lost their pets, and we've been there at that time, and everything in between.
"We'd love for the community to come together, whether you're a tradesperson and would like to provide some services, whether you're a landowner that's got a bit of land that you would love to think about the future of and how it could support us, whether you're an investor that's looking to buy a piece of land. We also want to start a capital campaign to raise money.
"We want to build it brick by brick with our community of animal lovers - whether you're someone who loves to go for an early morning run with the dawn chorus, or walks on the beach and enjoys the nature around us.
"When the animal shelter was set up, it served its purpose, but it's quite built up around us.
"So, is it right for us to provide our care in the middle of suburbia? Or would it be nice for us to do it in a rural setting and have that space, and to be releasing birds, for example, on our doorstep, into a field?"
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