When and under what conditions is it OK to ask a woman to go steady?

I just started dating a woman and we have only been out a few times so it’s too soon right now but we like each other

We are both 30 and busy professionals. We have a pretty relaxed texting arrangement and we only talk on the phone every few days.

We kissed on our first date but have not had sex yet. We will soon.

I am not looking to introduce her to my parents yet and I don’t want her to feel like she has to do that for me but at some point I do want to know she is dating only me