Dude, you don't even cut Sodium just because you are cutting. The muscles actually need water on them ya know.
The only reason to ever cut sodium is last few days before a contest.
Sodium makes you retain water, doesn't make you retain fat. So lose the fat and once thats gone to your liking, then lower your sodium to 2000mg per day but hell i actually up my sodium during cutting. Helps me hold water, which helps me keep lifting heavier, thus holding more muscle while cutting.
Unless you are one of those guys that actually has to see himself getting ripped up during a diet instead of just trusting your diet and know that you know how to lose fat. Then cut sodium a bit to bring out the riiiiiips.