From what I've read it's just the opposite..... here's an bit from what a sports nutritionist had to say....

some people are salty sweaters, and you are probably one of them. If any of the following signs describe you, join the salty sweat club. (I am a member too!)

Sweat that stings your eyes
Sweat that burns in an open cut
Sweat that tastes salty
Gritty-feeling skin after a run
Streaks of white on your face, skin, clothes, or hat after a run (this is called "cake sweat")
This tends to happen in those who drink more water and eat a fairly low-salt diet.