I'm in a Sexless Relationship, and My Partner Doesn't Want to Have Sex With Me

In the four years we've been together, we've never had penetrative sex. I stopped trying a couple of months ago when i got tired of ing him an to letting me give him oral sex. Conventional wisdom tells me our relationship is irreparably broken and that i should leave. While my partner tells me to stay. Is there a path for us to a place of intimacy and connection? Or do i need to face the fact that it's time for me to move on? Hope there's a better love out there for me? Yours sincerely, about to burst.