I do not recommend doing this.
Each time I washed it salt would recrystallize as it dried, so after 3 washes I decided to soak it in a lot of water which resolved that.
Then I went to use the salt and without any salt build up it poured out way quicker and ruined my breakfast.
The lid has plastic parts for a spout and you can’t get into where the plastic and metal join or the hinge of the spout, that’s where the salt send to have set up base.
Ah … I think new shakers are in order then.