If it matters, a few more details:
We ride western style.
He's been trained and ridden in both snaffle and curb, not elevator or gags, but not ridden in curb for the past year or so.
We haven't had any problems from this particular snaffle bit, no pinchings or cheek-catching.
Or should we even switch at all?
Thanks for the advice! And sorry if my english is a bit off, I'm not a native speaker!