Issues with white specs on C41 film in my case were due to re-used fixer that tended to have small particles floating in it. Fresh fixer didn't have it, and filtering reused fixer also seemed to help. These days I just use the fixer one shot which solved the issue for me.
It's of course just one possible cause, but worth a try, I'd say. Other causes might just as well play a role such as dirty (tap) water. You'll have to be systematic in nailing down the issue.