I just found this information, and I think it is important:
On the other hand, E. Divers3, Sir P. C. Rây4, C. Russworm5, M. Oswald6, and others observed no oxidation of solutions of nitrites in air. C. Matignon and G. Marchal7 reported that an aqueous solution of sodium nitrite is not oxidised by prolonged contact with oxygen, under a pressure of 50–55 atmospheres, even in the presence of a catalyst. But when the pressure is raised to 175 atmospheres and temperature to 395°–530°, solid sodium nitrite is almost completely oxidised to nitrate.
So in normal conditions oxidation won't happen, it would happen in extreme pressure and temperature.