I know that its not super traditional on here to want an actual committed relationship, and most of us love the idea of no strings attached sex, but here goes:

TL;DR my "ex" girlfriend and i still have sex about 3 or 4 times a week, I want a relationship, she says she doesnt.

Long version: So i'd known this girl for a while, who lived in a different city, we texted and flirted over messenger, recently she moved to the same city as me, and we dated for a few months. The first time we ever hung out, we had sex, and neither of us are very into the whole "dating" thing, so we kind of skipped all the way through, to (bluntly) fuckbuddies. We'd spend the night together, fuck like bunnies, then she'd go to work and i'd go to work, rinse and repeat the next night. She says she doesnt want a relationship, but that she really likes sex with me, I really like sex with her, but do want a relationship. from what we've talked about, its not so much that she doesnt want a relationship as she has seen a lot of relationships go bad and doesnt like the idea of being that emotionally invested in another person, hence, after we broke up (maybe a month ago?) we've still slept together about 3 or 4 nights a week. I'm ok with that, I just want to know if there's anything I could do to make it into a real relationship, or if anyone else has any similar experience.

We're both pretty attractive, social, and outgoing, its not really a matter of "man, if its not you its nobody, let's settle". The reason she dumped me was essentially a long winded "its not you its me"