Too much bathing can dry the skin out and lead to an increase in cat dandruff. You can start with once every two months along with following the tips above. Use a hypoallergenic shampoo or one that is labeled specifically for dandruff or dry skin. Avoid fragrances. Too much bathing can dry the skin out and lead to an increase in cat dandruff. You can start with once every two months along with following the tips above. Use a hypoallergenic shampoo or one that is labeled specifically for dandruff or dry skin. Avoid fragrances.