It works as an unofficial 'over flow' facility looking after animals when there is no room at other cat homes or the RSPCA.
Around 60 kittens will have to be put down by lethal injection next Wednesday if new owners aren't found.
Kittens which are due to be killed include three week old Sam, Frodo, Bilbo and Sapphire as well as a tabby called Winks.
"If they have nowhere else to live we'll have no choice but to put them to sleep. ''The RSPCA can't take them because they're full - we are usually the overflow for them.
''The credit crunch has been an absolute nightmare for animal charities.
"It's also meant there have been a lot more unwanted kittens because people can't afford to pay for vet's bills.
A spokesman for the RSPCA said its officers had visited the facility but confirmed its centres were full and a cull would not be illegal.