If I get my new license before my birthday, will it have a "not 21 until" sign on it?

I turn 21 in some weeks, and someone told me I can get my new driver’s license as early as a month before. But then someone else told me that if I do so it will have a “not 21 until [enter date here]” sign (or something that symbolizes that). I don’t want such a sign on my license, and if that’s the case, I will just wait till after my birthday to get my new license. I live in Ohio if that makes a difference.

I don’t really care about being able to drink, I just wanted to get the license earlier because my birthday is around the holidays and the DMV will probably be closed for a while, and then I won’t have an active license!!