Sulfite in water gets oxidized by dissolved oxygen at a rate of about 50% per minute (E. C. Fuller, R. H. Crist, "The Rate of Oxidation of Sulfite Ions by Oxygen" J. Am. Chem. Soc., 1941, 63 (6), pp 1644–1650)
Now this rate may vary depending on conditions (and it is reported to be rather...