A day? Yeah, you're probably fine.
This is almost a century old so perhaps there have been further investigations since, but at standard conditions you'll see very little oxidation:
THERE is considerable difference of opinion regarding the possibility of the oxidation of nitrites by oxygen to nitrates. Berzelius reported that when aqueous solutions of alkali nitrites are boiled in air, they absorb oxygen with the formation of nitrates. G. Lunge and E. Frémy, J. Lang1 and...
www.nature.com
A very brief bit of research suggests oxidation is most "efficient" at 65 degrees Celsius, but that's different to happening most quickly, which is at very high temperatures.
I think generally people like to take an abundance of caution, especially when making guides. I might be wrong, but I think there are cases of attempts failing where it has been speculated that the cause is contamination of the product - that's the impression I've got from people's general concerns about degradation.
To be frank, contamination with sodium chloride or, say, an acid like lemon juice is going to be a bigger concern.