But cats should not be forced to stay inside if it causes them stress, it added.
There have been a “tiny” number of Covid-19 cases in animals but it appears the transmission was human to animal, said the association in a statement.
“There is no evidence that pets can pass Covid-19 to their owners,” it added.
So far, dogs have not shown any symptoms but cats have displayed “clinical signs of the disease.”
The association warns that the virus can sit on pet fur in the same way as on other surfaces. Handwashing is the best line of defense, it advises.
“As a precaution, for pet owners who have Covid-19,or who are self-isolating, we are recommending that you keep your cat inside during that time, if possible,” it said.