How old are you two? You've only been seeing her for a month - that's really just a few weeks, you know. A blink of an eye. You really hardly know each other at all. So it's very soon to be in love or to worry about where the relationship is going. This is an early stage and it's okay for both of you to date other people.
I think you need to relax, continue to date other people yourself, and let things develop naturally. If it really turns out to be something long term, it will happen, but not by worrying or making rules. Good luck!