They are the same - both mean no water, the other form which really only appears in US publications is Crystalline (cryst) which is the heptahydrate form.
Hello,
Sodiumsulfite cryst. has 7 moles of crystal water and the molecular weight of 252, the anhydrous form has a molecular weight of 126. So you can take either 1 gr. Sodiumsulfite sicc. or 2 gr. of the crystalline form. The anhydrous form is much more stable at air, so the crystalline salt is virtually not available on the market. Sicc. is Latin and means "siccum" = dry.
"Dessicated", when it comes to chemicals, is an obsolete term that has now been replaced by "anhydrous". Both mean the same thing - without water molecules.