The college is aware of between 40 and 50 affected cats around the country. She said that some animals had become unwell at the same time and from the same household.
Fold Hill Foods said products under the Sainsbury's Hypoallergenic Recipe range and Pets at Home Ava range are being recalled.
Applaws products, which are sold by Amazon and other pet food shops, may also be unsafe.
The Food Standards Agency said that notices will be displayed at the tills of retailers selling these products and online.
It advised customers to contact retailers if they had bought the goods.
A Sainsbury's spokesperson said: "We are supporting an investigation into a possible safety issue affecting cats. We are not willing to take any risks where the safety of our products is concerned and so we are voluntarily recalling these products and asking customers not to use them and to return the packs to their nearest Sainsbury's store for a full refund. We are sorry for the inconvenience this may cause."
A Pets at Home spokesperson said that it was aware of the rise in pancytopenia cases identified by the RVC.
"The health and wellbeing of pets is our top priority, which is why we are supporting the manufacturer's product recall of Ava and Applaws dry cat food ranges," the spokesperson said.
"This is a precautionary measure while further investigations are carried out and we are working closely with the Food Standards Agency, RVC and wider industry to determine the cause.
"In the meantime our store colleagues are on hand to help customers select a suitable alternative."
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