You should absolutely discuss your timelines and expectations. That's the basis of good communication.
I don't think you need to propose to him. But clearly stating that you would like to be married, to him specifically, and asking if he feels the same/ sees the same vision of the future, is a good place to start. Maybe don't say "you will propose by August, or I'm breaking up with you and the lease", but definitely set an internal timer. If he hesitates, or quibbles on it being 'too soon' when you say you'd like to be married, ask him why. You're in your 30s, you've lived together a full year, unless he can come up with a really, really good reason, he's stalling and you should dump him and move on. And any reason he gives better have a clear expiration date so you don't wind up waiting around forever ("I want to finish my certification training" is a viable reason to wait and offers a clear timeline. "I'm not ready" "I want to be more financially stable" "Maybe when x happens" etc. are not, and you should move on)
However, I'm thinking you shot yourself in the foot on your chances of marrying this one. You moved in at 6 months. He was serious and excited to make a commitment then. But now...he's got all the plusses of being married (live in partner, steady relationship, ready sex, financial stability, etc.), with none of the minuses (like having to get a divorce and lose half his stuff to break up with you, and he got to skip shelling out tens of thousands of dollars on a wedding)
If he wanted to be married to you, he would have asked already. It'd take quite a shove over the hill to get him to propose now. If you don't stick to your 'timeline', I can easily see you waiting 7-10+ years, possibly even after a child or three, and then only getting a reluctant and halfassed proposal and wedding as an "at last" since by then he knows he has to, or you'll leave and upset his comfy situation.
So, have a talk, listen seriously to what he says and believe him, and then cut your losses if he can't give you what you want: someone who is beyond excited and eager to be your husband and spend his life with you.