Yep, I did it for over 11 years and while on boarding new staff I always made sure they understood come to me if you want the day off, I don't care when, I'll never say no, just let me know when you know.

If you don't do this and the person can't find somebody to cover and they really need the day off for whatever reason then they just call in sick that morning and it's a lot harder finding a replacement at 5am that day vs 3pm the day before.